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Finding the Third Proportional to 121,924,068 and 185,744,484

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Solution

The third proportional to 121,924,068 and 185,744,484 is: 282,971,310.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,924,068 : 185,744,484 = 185,744,484 : x
  2. Step 2: Convert to fraction form
    121,924,068/185,744,484 = 185,744,484/x
  3. Step 3: Cross multiply
    121,924,068x = 185,744,484 × 185,744,484
  4. Step 4: Simplify right side
    121,924,068x = 34,501,013,336,426,256
  5. Step 5: Solve for x
    x = 34,501,013,336,426,256/121,924,068
  6. Step 6: Final answer
    x = 282,971,310.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.