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Finding the Third Proportional to 147,524,490 and 216,503,748

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Solution

The third proportional to 147,524,490 and 216,503,748 is: 317,736,213.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,524,490 : 216,503,748 = 216,503,748 : x
  2. Step 2: Convert to fraction form
    147,524,490/216,503,748 = 216,503,748/x
  3. Step 3: Cross multiply
    147,524,490x = 216,503,748 × 216,503,748
  4. Step 4: Simplify right side
    147,524,490x = 46,873,872,898,047,504
  5. Step 5: Solve for x
    x = 46,873,872,898,047,504/147,524,490
  6. Step 6: Final answer
    x = 317,736,213.82

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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.