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Finding the Third Proportional to 83,079,501.75 and 180,788,393.25

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Solution

The third proportional to 83,079,501.75 and 180,788,393.25 is: 393,411,641.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,079,501.75 : 180,788,393.25 = 180,788,393.25 : x
  2. Step 2: Convert to fraction form
    83,079,501.75/180,788,393.25 = 180,788,393.25/x
  3. Step 3: Cross multiply
    83,079,501.75x = 180,788,393.25 × 180,788,393.25
  4. Step 4: Simplify right side
    83,079,501.75x = 32,684,443,133,916,644
  5. Step 5: Solve for x
    x = 32,684,443,133,916,644/83,079,501.75
  6. Step 6: Final answer
    x = 393,411,641.20

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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.