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Finding the Third Proportional to 145,762,618.50 and 223,515,787.50

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Solution

The third proportional to 145,762,618.50 and 223,515,787.50 is: 342,744,304.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,762,618.50 : 223,515,787.50 = 223,515,787.50 : x
  2. Step 2: Convert to fraction form
    145,762,618.50/223,515,787.50 = 223,515,787.50/x
  3. Step 3: Cross multiply
    145,762,618.50x = 223,515,787.50 × 223,515,787.50
  4. Step 4: Simplify right side
    145,762,618.50x = 49,959,307,261,745,160
  5. Step 5: Solve for x
    x = 49,959,307,261,745,160/145,762,618.50
  6. Step 6: Final answer
    x = 342,744,304.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.