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Finding the Third Proportional to 156,980,047,184 and 235,412,415,588

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Solution

The third proportional to 156,980,047,184 and 235,412,415,588 is: 353,032,161,775.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,980,047,184 : 235,412,415,588 = 235,412,415,588 : x
  2. Step 2: Convert to fraction form
    156,980,047,184/235,412,415,588 = 235,412,415,588/x
  3. Step 3: Cross multiply
    156,980,047,184x = 235,412,415,588 × 235,412,415,588
  4. Step 4: Simplify right side
    156,980,047,184x = 55,419,005,412,977,221,304,320
  5. Step 5: Solve for x
    x = 55,419,005,412,977,221,304,320/156,980,047,184
  6. Step 6: Final answer
    x = 353,032,161,775.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.