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Finding the Third Proportional to 46,016,706.38 and 102,248,471.25

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Solution

The third proportional to 46,016,706.38 and 102,248,471.25 is: 227,194,658.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,016,706.38 : 102,248,471.25 = 102,248,471.25 : x
  2. Step 2: Convert to fraction form
    46,016,706.38/102,248,471.25 = 102,248,471.25/x
  3. Step 3: Cross multiply
    46,016,706.38x = 102,248,471.25 × 102,248,471.25
  4. Step 4: Simplify right side
    46,016,706.38x = 10,454,749,872,962,076
  5. Step 5: Solve for x
    x = 10,454,749,872,962,076/46,016,706.38
  6. Step 6: Final answer
    x = 227,194,658.13

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.