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Finding the Third Proportional to 214,937,832 and 466,367,943

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Solution

The third proportional to 214,937,832 and 466,367,943 is: 1,011,916,125.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,937,832 : 466,367,943 = 466,367,943 : x
  2. Step 2: Convert to fraction form
    214,937,832/466,367,943 = 466,367,943/x
  3. Step 3: Cross multiply
    214,937,832x = 466,367,943 × 466,367,943
  4. Step 4: Simplify right side
    214,937,832x = 217,499,058,258,051,264
  5. Step 5: Solve for x
    x = 217,499,058,258,051,264/214,937,832
  6. Step 6: Final answer
    x = 1,011,916,125.86

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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.