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Finding the Third Proportional to 98,712,879,808 and 150,382,244,264

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Solution

The third proportional to 98,712,879,808 and 150,382,244,264 is: 229,096,946,962.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,712,879,808 : 150,382,244,264 = 150,382,244,264 : x
  2. Step 2: Convert to fraction form
    98,712,879,808/150,382,244,264 = 150,382,244,264/x
  3. Step 3: Cross multiply
    98,712,879,808x = 150,382,244,264 × 150,382,244,264
  4. Step 4: Simplify right side
    98,712,879,808x = 22,614,819,389,877,361,049,600
  5. Step 5: Solve for x
    x = 22,614,819,389,877,361,049,600/98,712,879,808
  6. Step 6: Final answer
    x = 229,096,946,962.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.