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Finding the Third Proportional to 152,435,999 and 324,535,558

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Solution

The third proportional to 152,435,999 and 324,535,558 is: 690,934,747.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,435,999 : 324,535,558 = 324,535,558 : x
  2. Step 2: Convert to fraction form
    152,435,999/324,535,558 = 324,535,558/x
  3. Step 3: Cross multiply
    152,435,999x = 324,535,558 × 324,535,558
  4. Step 4: Simplify right side
    152,435,999x = 105,323,328,406,371,360
  5. Step 5: Solve for x
    x = 105,323,328,406,371,360/152,435,999
  6. Step 6: Final answer
    x = 690,934,747.02

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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.