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Finding the Third Proportional to 119,017,125 and 183,831,760.13

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Solution

The third proportional to 119,017,125 and 183,831,760.13 is: 283,943,306.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,017,125 : 183,831,760.13 = 183,831,760.13 : x
  2. Step 2: Convert to fraction form
    119,017,125/183,831,760.13 = 183,831,760.13/x
  3. Step 3: Cross multiply
    119,017,125x = 183,831,760.13 × 183,831,760.13
  4. Step 4: Simplify right side
    119,017,125x = 33,794,116,030,655,540
  5. Step 5: Solve for x
    x = 33,794,116,030,655,540/119,017,125
  6. Step 6: Final answer
    x = 283,943,306.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.