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Finding the Third Proportional to 158,118,946,384 and 240,883,277,468

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Solution

The third proportional to 158,118,946,384 and 240,883,277,468 is: 366,969,010,929.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,118,946,384 : 240,883,277,468 = 240,883,277,468 : x
  2. Step 2: Convert to fraction form
    158,118,946,384/240,883,277,468 = 240,883,277,468/x
  3. Step 3: Cross multiply
    158,118,946,384x = 240,883,277,468 × 240,883,277,468
  4. Step 4: Simplify right side
    158,118,946,384x = 58,024,753,363,725,479,575,552
  5. Step 5: Solve for x
    x = 58,024,753,363,725,479,575,552/158,118,946,384
  6. Step 6: Final answer
    x = 366,969,010,929.34

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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.