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Finding the Third Proportional to 151,435,380 and 329,403,657

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Solution

The third proportional to 151,435,380 and 329,403,657 is: 716,521,920.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,435,380 : 329,403,657 = 329,403,657 : x
  2. Step 2: Convert to fraction form
    151,435,380/329,403,657 = 329,403,657/x
  3. Step 3: Cross multiply
    151,435,380x = 329,403,657 × 329,403,657
  4. Step 4: Simplify right side
    151,435,380x = 108,506,769,244,973,648
  5. Step 5: Solve for x
    x = 108,506,769,244,973,648/151,435,380
  6. Step 6: Final answer
    x = 716,521,920.08

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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.