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Finding the Third Proportional to 82,506,807.75 and 174,848,919

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Solution

The third proportional to 82,506,807.75 and 174,848,919 is: 370,540,871.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,506,807.75 : 174,848,919 = 174,848,919 : x
  2. Step 2: Convert to fraction form
    82,506,807.75/174,848,919 = 174,848,919/x
  3. Step 3: Cross multiply
    82,506,807.75x = 174,848,919 × 174,848,919
  4. Step 4: Simplify right side
    82,506,807.75x = 30,572,144,475,468,560
  5. Step 5: Solve for x
    x = 30,572,144,475,468,560/82,506,807.75
  6. Step 6: Final answer
    x = 370,540,871.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.