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Finding the Third Proportional to 120,157,570 and 246,685,050

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Solution

The third proportional to 120,157,570 and 246,685,050 is: 506,447,607.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,157,570 : 246,685,050 = 246,685,050 : x
  2. Step 2: Convert to fraction form
    120,157,570/246,685,050 = 246,685,050/x
  3. Step 3: Cross multiply
    120,157,570x = 246,685,050 × 246,685,050
  4. Step 4: Simplify right side
    120,157,570x = 60,853,513,893,502,496
  5. Step 5: Solve for x
    x = 60,853,513,893,502,496/120,157,570
  6. Step 6: Final answer
    x = 506,447,607.87

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.