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Finding the Third Proportional to 85,993,165,501.88 and 128,989,759,324.50

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Solution

The third proportional to 85,993,165,501.88 and 128,989,759,324.50 is: 193,484,655,594.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,993,165,501.88 : 128,989,759,324.50 = 128,989,759,324.50 : x
  2. Step 2: Convert to fraction form
    85,993,165,501.88/128,989,759,324.50 = 128,989,759,324.50/x
  3. Step 3: Cross multiply
    85,993,165,501.88x = 128,989,759,324.50 × 128,989,759,324.50
  4. Step 4: Simplify right side
    85,993,165,501.88x = 16,638,358,010,592,434,847,744
  5. Step 5: Solve for x
    x = 16,638,358,010,592,434,847,744/85,993,165,501.88
  6. Step 6: Final answer
    x = 193,484,655,594.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.