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Finding the Third Proportional to 104,853,754 and 157,280,645

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Solution

The third proportional to 104,853,754 and 157,280,645 is: 235,920,988.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,853,754 : 157,280,645 = 157,280,645 : x
  2. Step 2: Convert to fraction form
    104,853,754/157,280,645 = 157,280,645/x
  3. Step 3: Cross multiply
    104,853,754x = 157,280,645 × 157,280,645
  4. Step 4: Simplify right side
    104,853,754x = 24,737,201,291,616,024
  5. Step 5: Solve for x
    x = 24,737,201,291,616,024/104,853,754
  6. Step 6: Final answer
    x = 235,920,988.50

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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.