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Finding the Third Proportional to 214,938,013.50 and 466,368,309

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Solution

The third proportional to 214,938,013.50 and 466,368,309 is: 1,011,916,859.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,938,013.50 : 466,368,309 = 466,368,309 : x
  2. Step 2: Convert to fraction form
    214,938,013.50/466,368,309 = 466,368,309/x
  3. Step 3: Cross multiply
    214,938,013.50x = 466,368,309 × 466,368,309
  4. Step 4: Simplify right side
    214,938,013.50x = 217,499,399,639,519,488
  5. Step 5: Solve for x
    x = 217,499,399,639,519,488/214,938,013.50
  6. Step 6: Final answer
    x = 1,011,916,859.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.