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Finding the Third Proportional to 232,815,280.50 and 365,218,641

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Solution

The third proportional to 232,815,280.50 and 365,218,641 is: 572,920,537.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,815,280.50 : 365,218,641 = 365,218,641 : x
  2. Step 2: Convert to fraction form
    232,815,280.50/365,218,641 = 365,218,641/x
  3. Step 3: Cross multiply
    232,815,280.50x = 365,218,641 × 365,218,641
  4. Step 4: Simplify right side
    232,815,280.50x = 133,384,655,733,886,880
  5. Step 5: Solve for x
    x = 133,384,655,733,886,880/232,815,280.50
  6. Step 6: Final answer
    x = 572,920,537.89

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.