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Finding the Third Proportional to 157,280,494.50 and 235,920,764.25

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Solution

The third proportional to 157,280,494.50 and 235,920,764.25 is: 353,881,180.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,280,494.50 : 235,920,764.25 = 235,920,764.25 : x
  2. Step 2: Convert to fraction form
    157,280,494.50/235,920,764.25 = 235,920,764.25/x
  3. Step 3: Cross multiply
    157,280,494.50x = 235,920,764.25 × 235,920,764.25
  4. Step 4: Simplify right side
    157,280,494.50x = 55,658,607,004,304,080
  5. Step 5: Solve for x
    x = 55,658,607,004,304,080/157,280,494.50
  6. Step 6: Final answer
    x = 353,881,180.13

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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.