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Finding the Third Proportional to 136,620,498 and 292,766,534

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Solution

The third proportional to 136,620,498 and 292,766,534 is: 627,374,696.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,620,498 : 292,766,534 = 292,766,534 : x
  2. Step 2: Convert to fraction form
    136,620,498/292,766,534 = 292,766,534/x
  3. Step 3: Cross multiply
    136,620,498x = 292,766,534 × 292,766,534
  4. Step 4: Simplify right side
    136,620,498x = 85,712,243,430,373,152
  5. Step 5: Solve for x
    x = 85,712,243,430,373,152/136,620,498
  6. Step 6: Final answer
    x = 627,374,696.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.