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Finding the Third Proportional to 51,921,681.75 and 110,792,812.50

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Solution

The third proportional to 51,921,681.75 and 110,792,812.50 is: 236,414,670.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,921,681.75 : 110,792,812.50 = 110,792,812.50 : x
  2. Step 2: Convert to fraction form
    51,921,681.75/110,792,812.50 = 110,792,812.50/x
  3. Step 3: Cross multiply
    51,921,681.75x = 110,792,812.50 × 110,792,812.50
  4. Step 4: Simplify right side
    51,921,681.75x = 12,275,047,301,660,156
  5. Step 5: Solve for x
    x = 12,275,047,301,660,156/51,921,681.75
  6. Step 6: Final answer
    x = 236,414,670.86

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.