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Finding the Third Proportional to 109,884,518,870 and 238,024,210,464

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Solution

The third proportional to 109,884,518,870 and 238,024,210,464 is: 515,591,507,790.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,884,518,870 : 238,024,210,464 = 238,024,210,464 : x
  2. Step 2: Convert to fraction form
    109,884,518,870/238,024,210,464 = 238,024,210,464/x
  3. Step 3: Cross multiply
    109,884,518,870x = 238,024,210,464 × 238,024,210,464
  4. Step 4: Simplify right side
    109,884,518,870x = 56,655,524,767,010,566,176,768
  5. Step 5: Solve for x
    x = 56,655,524,767,010,566,176,768/109,884,518,870
  6. Step 6: Final answer
    x = 515,591,507,790.44

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