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Finding the Third Proportional to 109,884,518,810 and 238,024,210,348

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Solution

The third proportional to 109,884,518,810 and 238,024,210,348 is: 515,591,507,569.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,884,518,810 : 238,024,210,348 = 238,024,210,348 : x
  2. Step 2: Convert to fraction form
    109,884,518,810/238,024,210,348 = 238,024,210,348/x
  3. Step 3: Cross multiply
    109,884,518,810x = 238,024,210,348 × 238,024,210,348
  4. Step 4: Simplify right side
    109,884,518,810x = 56,655,524,711,788,946,915,328
  5. Step 5: Solve for x
    x = 56,655,524,711,788,946,915,328/109,884,518,810
  6. Step 6: Final answer
    x = 515,591,507,569.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.