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Finding the Third Proportional to 104,853,842 and 157,280,784

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Solution

The third proportional to 104,853,842 and 157,280,784 is: 235,921,207.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,853,842 : 157,280,784 = 157,280,784 : x
  2. Step 2: Convert to fraction form
    104,853,842/157,280,784 = 157,280,784/x
  3. Step 3: Cross multiply
    104,853,842x = 157,280,784 × 157,280,784
  4. Step 4: Simplify right side
    104,853,842x = 24,737,245,015,654,656
  5. Step 5: Solve for x
    x = 24,737,245,015,654,656/104,853,842
  6. Step 6: Final answer
    x = 235,921,207.50

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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.