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Finding the Third Proportional to 70,182,300 and 156,501,384

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Solution

The third proportional to 70,182,300 and 156,501,384 is: 348,986,613.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,182,300 : 156,501,384 = 156,501,384 : x
  2. Step 2: Convert to fraction form
    70,182,300/156,501,384 = 156,501,384/x
  3. Step 3: Cross multiply
    70,182,300x = 156,501,384 × 156,501,384
  4. Step 4: Simplify right side
    70,182,300x = 24,492,683,193,915,456
  5. Step 5: Solve for x
    x = 24,492,683,193,915,456/70,182,300
  6. Step 6: Final answer
    x = 348,986,613.35

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.