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Finding the Third Proportional to 153,069,421 and 235,595,375

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Solution

The third proportional to 153,069,421 and 235,595,375 is: 362,614,429.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,069,421 : 235,595,375 = 235,595,375 : x
  2. Step 2: Convert to fraction form
    153,069,421/235,595,375 = 235,595,375/x
  3. Step 3: Cross multiply
    153,069,421x = 235,595,375 × 235,595,375
  4. Step 4: Simplify right side
    153,069,421x = 55,505,180,721,390,624
  5. Step 5: Solve for x
    x = 55,505,180,721,390,624/153,069,421
  6. Step 6: Final answer
    x = 362,614,429.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.