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Finding the Third Proportional to 152,435,988 and 324,535,536

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Solution

The third proportional to 152,435,988 and 324,535,536 is: 690,934,703.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,435,988 : 324,535,536 = 324,535,536 : x
  2. Step 2: Convert to fraction form
    152,435,988/324,535,536 = 324,535,536/x
  3. Step 3: Cross multiply
    152,435,988x = 324,535,536 × 324,535,536
  4. Step 4: Simplify right side
    152,435,988x = 105,323,314,126,807,296
  5. Step 5: Solve for x
    x = 105,323,314,126,807,296/152,435,988
  6. Step 6: Final answer
    x = 690,934,703.21

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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.