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Finding the Third Proportional to 141,878,400 and 305,635,536

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Solution

The third proportional to 141,878,400 and 305,635,536 is: 658,402,412.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,878,400 : 305,635,536 = 305,635,536 : x
  2. Step 2: Convert to fraction form
    141,878,400/305,635,536 = 305,635,536/x
  3. Step 3: Cross multiply
    141,878,400x = 305,635,536 × 305,635,536
  4. Step 4: Simplify right side
    141,878,400x = 93,413,080,866,007,296
  5. Step 5: Solve for x
    x = 93,413,080,866,007,296/141,878,400
  6. Step 6: Final answer
    x = 658,402,412.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.