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Finding the Third Proportional to 217,886,265.56 and 466,856,867.81

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Solution

The third proportional to 217,886,265.56 and 466,856,867.81 is: 1,000,316,997.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,886,265.56 : 466,856,867.81 = 466,856,867.81 : x
  2. Step 2: Convert to fraction form
    217,886,265.56/466,856,867.81 = 466,856,867.81/x
  3. Step 3: Cross multiply
    217,886,265.56x = 466,856,867.81 × 466,856,867.81
  4. Step 4: Simplify right side
    217,886,265.56x = 217,955,335,023,698,112
  5. Step 5: Solve for x
    x = 217,955,335,023,698,112/217,886,265.56
  6. Step 6: Final answer
    x = 1,000,316,997.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.