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Finding the Third Proportional to 213,134,788 and 466,129,352

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Solution

The third proportional to 213,134,788 and 466,129,352 is: 1,019,432,701.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,134,788 : 466,129,352 = 466,129,352 : x
  2. Step 2: Convert to fraction form
    213,134,788/466,129,352 = 466,129,352/x
  3. Step 3: Cross multiply
    213,134,788x = 466,129,352 × 466,129,352
  4. Step 4: Simplify right side
    213,134,788x = 217,276,572,795,939,904
  5. Step 5: Solve for x
    x = 217,276,572,795,939,904/213,134,788
  6. Step 6: Final answer
    x = 1,019,432,701.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.