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Finding the Third Proportional to 212,714,301 and 462,698,340

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Solution

The third proportional to 212,714,301 and 462,698,340 is: 1,006,466,198.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,714,301 : 462,698,340 = 462,698,340 : x
  2. Step 2: Convert to fraction form
    212,714,301/462,698,340 = 462,698,340/x
  3. Step 3: Cross multiply
    212,714,301x = 462,698,340 × 462,698,340
  4. Step 4: Simplify right side
    212,714,301x = 214,089,753,838,755,584
  5. Step 5: Solve for x
    x = 214,089,753,838,755,584/212,714,301
  6. Step 6: Final answer
    x = 1,006,466,198.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.