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Finding the Third Proportional to 45,460,051 and 99,721,399

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Solution

The third proportional to 45,460,051 and 99,721,399 is: 218,749,367.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,460,051 : 99,721,399 = 99,721,399 : x
  2. Step 2: Convert to fraction form
    45,460,051/99,721,399 = 99,721,399/x
  3. Step 3: Cross multiply
    45,460,051x = 99,721,399 × 99,721,399
  4. Step 4: Simplify right side
    45,460,051x = 9,944,357,418,517,200
  5. Step 5: Solve for x
    x = 9,944,357,418,517,200/45,460,051
  6. Step 6: Final answer
    x = 218,749,367.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.