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Finding the Third Proportional to 215,919,071 and 466,243,389

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Solution

The third proportional to 215,919,071 and 466,243,389 is: 1,006,779,515.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,919,071 : 466,243,389 = 466,243,389 : x
  2. Step 2: Convert to fraction form
    215,919,071/466,243,389 = 466,243,389/x
  3. Step 3: Cross multiply
    215,919,071x = 466,243,389 × 466,243,389
  4. Step 4: Simplify right side
    215,919,071x = 217,382,897,786,205,312
  5. Step 5: Solve for x
    x = 217,382,897,786,205,312/215,919,071
  6. Step 6: Final answer
    x = 1,006,779,515.95

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Why These Related Problems?

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