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Finding the Third Proportional to 214,619,898 and 464,894,348

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Solution

The third proportional to 214,619,898 and 464,894,348 is: 1,007,021,048.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,619,898 : 464,894,348 = 464,894,348 : x
  2. Step 2: Convert to fraction form
    214,619,898/464,894,348 = 464,894,348/x
  3. Step 3: Cross multiply
    214,619,898x = 464,894,348 × 464,894,348
  4. Step 4: Simplify right side
    214,619,898x = 216,126,754,802,345,088
  5. Step 5: Solve for x
    x = 216,126,754,802,345,088/214,619,898
  6. Step 6: Final answer
    x = 1,007,021,048.92

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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.