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Finding the Third Proportional to 173,598,983.50 and 264,468,302.25

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Solution

The third proportional to 173,598,983.50 and 264,468,302.25 is: 402,902,606.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,598,983.50 : 264,468,302.25 = 264,468,302.25 : x
  2. Step 2: Convert to fraction form
    173,598,983.50/264,468,302.25 = 264,468,302.25/x
  3. Step 3: Cross multiply
    173,598,983.50x = 264,468,302.25 × 264,468,302.25
  4. Step 4: Simplify right side
    173,598,983.50x = 69,943,482,894,997,352
  5. Step 5: Solve for x
    x = 69,943,482,894,997,352/173,598,983.50
  6. Step 6: Final answer
    x = 402,902,606.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.