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Finding the Third Proportional to 78,228,961,877.25 and 169,454,005,859.25

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Solution

The third proportional to 78,228,961,877.25 and 169,454,005,859.25 is: 367,059,199,210.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,228,961,877.25 : 169,454,005,859.25 = 169,454,005,859.25 : x
  2. Step 2: Convert to fraction form
    78,228,961,877.25/169,454,005,859.25 = 169,454,005,859.25/x
  3. Step 3: Cross multiply
    78,228,961,877.25x = 169,454,005,859.25 × 169,454,005,859.25
  4. Step 4: Simplify right side
    78,228,961,877.25x = 28,714,660,101,746,732,302,336
  5. Step 5: Solve for x
    x = 28,714,660,101,746,732,302,336/78,228,961,877.25
  6. Step 6: Final answer
    x = 367,059,199,210.69

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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.