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Finding the Third Proportional to 121,924,064 and 185,744,478

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Solution

The third proportional to 121,924,064 and 185,744,478 is: 282,971,301.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,924,064 : 185,744,478 = 185,744,478 : x
  2. Step 2: Convert to fraction form
    121,924,064/185,744,478 = 185,744,478/x
  3. Step 3: Cross multiply
    121,924,064x = 185,744,478 × 185,744,478
  4. Step 4: Simplify right side
    121,924,064x = 34,501,011,107,492,484
  5. Step 5: Solve for x
    x = 34,501,011,107,492,484/121,924,064
  6. Step 6: Final answer
    x = 282,971,301.77

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