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Finding the Third Proportional to 234,633,609 and 354,970,335

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Solution

The third proportional to 234,633,609 and 354,970,335 is: 537,024,253.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,633,609 : 354,970,335 = 354,970,335 : x
  2. Step 2: Convert to fraction form
    234,633,609/354,970,335 = 354,970,335/x
  3. Step 3: Cross multiply
    234,633,609x = 354,970,335 × 354,970,335
  4. Step 4: Simplify right side
    234,633,609x = 126,003,938,730,012,224
  5. Step 5: Solve for x
    x = 126,003,938,730,012,224/234,633,609
  6. Step 6: Final answer
    x = 537,024,253.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.