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Finding the Third Proportional to 82,553,289.14 and 178,033,177.10

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Solution

The third proportional to 82,553,289.14 and 178,033,177.10 is: 383,943,662.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,553,289.14 : 178,033,177.10 = 178,033,177.10 : x
  2. Step 2: Convert to fraction form
    82,553,289.14/178,033,177.10 = 178,033,177.10/x
  3. Step 3: Cross multiply
    82,553,289.14x = 178,033,177.10 × 178,033,177.10
  4. Step 4: Simplify right side
    82,553,289.14x = 31,695,812,147,832,156
  5. Step 5: Solve for x
    x = 31,695,812,147,832,156/82,553,289.14
  6. Step 6: Final answer
    x = 383,943,662.05

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.