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Finding the Third Proportional to 96,529,878 and 205,688,407.50

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Solution

The third proportional to 96,529,878 and 205,688,407.50 is: 438,286,278.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,529,878 : 205,688,407.50 = 205,688,407.50 : x
  2. Step 2: Convert to fraction form
    96,529,878/205,688,407.50 = 205,688,407.50/x
  3. Step 3: Cross multiply
    96,529,878x = 205,688,407.50 × 205,688,407.50
  4. Step 4: Simplify right side
    96,529,878x = 42,307,720,979,886,056
  5. Step 5: Solve for x
    x = 42,307,720,979,886,056/96,529,878
  6. Step 6: Final answer
    x = 438,286,278.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.