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Finding the Third Proportional to 51,066,469.13 and 105,766,565.63

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Solution

The third proportional to 51,066,469.13 and 105,766,565.63 is: 219,058,936.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,066,469.13 : 105,766,565.63 = 105,766,565.63 : x
  2. Step 2: Convert to fraction form
    51,066,469.13/105,766,565.63 = 105,766,565.63/x
  3. Step 3: Cross multiply
    51,066,469.13x = 105,766,565.63 × 105,766,565.63
  4. Step 4: Simplify right side
    51,066,469.13x = 11,186,566,404,107,432
  5. Step 5: Solve for x
    x = 11,186,566,404,107,432/51,066,469.13
  6. Step 6: Final answer
    x = 219,058,936.24

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.