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Finding the Third Proportional to 213,134,776 and 466,129,328

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Solution

The third proportional to 213,134,776 and 466,129,328 is: 1,019,432,654.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,134,776 : 466,129,328 = 466,129,328 : x
  2. Step 2: Convert to fraction form
    213,134,776/466,129,328 = 466,129,328/x
  3. Step 3: Cross multiply
    213,134,776x = 466,129,328 × 466,129,328
  4. Step 4: Simplify right side
    213,134,776x = 217,276,550,421,731,584
  5. Step 5: Solve for x
    x = 217,276,550,421,731,584/213,134,776
  6. Step 6: Final answer
    x = 1,019,432,654.30

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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.