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Finding the Third Proportional to 157,097,374 and 330,474,775

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Solution

The third proportional to 157,097,374 and 330,474,775 is: 695,196,705.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,097,374 : 330,474,775 = 330,474,775 : x
  2. Step 2: Convert to fraction form
    157,097,374/330,474,775 = 330,474,775/x
  3. Step 3: Cross multiply
    157,097,374x = 330,474,775 × 330,474,775
  4. Step 4: Simplify right side
    157,097,374x = 109,213,576,911,300,624
  5. Step 5: Solve for x
    x = 109,213,576,911,300,624/157,097,374
  6. Step 6: Final answer
    x = 695,196,705.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.