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Finding the Third Proportional to 107,363,059,072.75 and 233,575,866,737.25

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Solution

The third proportional to 107,363,059,072.75 and 233,575,866,737.25 is: 508,160,683,881.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,363,059,072.75 : 233,575,866,737.25 = 233,575,866,737.25 : x
  2. Step 2: Convert to fraction form
    107,363,059,072.75/233,575,866,737.25 = 233,575,866,737.25/x
  3. Step 3: Cross multiply
    107,363,059,072.75x = 233,575,866,737.25 × 233,575,866,737.25
  4. Step 4: Simplify right side
    107,363,059,072.75x = 54,557,685,522,057,570,287,616
  5. Step 5: Solve for x
    x = 54,557,685,522,057,570,287,616/107,363,059,072.75
  6. Step 6: Final answer
    x = 508,160,683,881.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.