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Finding the Third Proportional to 83,194,513 and 129,828,216

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Solution

The third proportional to 83,194,513 and 129,828,216 is: 202,601,891.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,194,513 : 129,828,216 = 129,828,216 : x
  2. Step 2: Convert to fraction form
    83,194,513/129,828,216 = 129,828,216/x
  3. Step 3: Cross multiply
    83,194,513x = 129,828,216 × 129,828,216
  4. Step 4: Simplify right side
    83,194,513x = 16,855,365,669,742,656
  5. Step 5: Solve for x
    x = 16,855,365,669,742,656/83,194,513
  6. Step 6: Final answer
    x = 202,601,891.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.