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Finding the Third Proportional to 147,524,510 and 216,503,778

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Solution

The third proportional to 147,524,510 and 216,503,778 is: 317,736,258.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,524,510 : 216,503,778 = 216,503,778 : x
  2. Step 2: Convert to fraction form
    147,524,510/216,503,778 = 216,503,778/x
  3. Step 3: Cross multiply
    147,524,510x = 216,503,778 × 216,503,778
  4. Step 4: Simplify right side
    147,524,510x = 46,873,885,888,273,280
  5. Step 5: Solve for x
    x = 46,873,885,888,273,280/147,524,510
  6. Step 6: Final answer
    x = 317,736,258.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.