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Finding the Third Proportional to 104,853,681 and 157,280,535

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Solution

The third proportional to 104,853,681 and 157,280,535 is: 235,920,822.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,853,681 : 157,280,535 = 157,280,535 : x
  2. Step 2: Convert to fraction form
    104,853,681/157,280,535 = 157,280,535/x
  3. Step 3: Cross multiply
    104,853,681x = 157,280,535 × 157,280,535
  4. Step 4: Simplify right side
    104,853,681x = 24,737,166,689,886,224
  5. Step 5: Solve for x
    x = 24,737,166,689,886,224/104,853,681
  6. Step 6: Final answer
    x = 235,920,822.75

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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.