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Finding the Third Proportional to 68,007,664.88 and 147,561,714.88

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Solution

The third proportional to 68,007,664.88 and 147,561,714.88 is: 320,176,552.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,007,664.88 : 147,561,714.88 = 147,561,714.88 : x
  2. Step 2: Convert to fraction form
    68,007,664.88/147,561,714.88 = 147,561,714.88/x
  3. Step 3: Cross multiply
    68,007,664.88x = 147,561,714.88 × 147,561,714.88
  4. Step 4: Simplify right side
    68,007,664.88x = 21,774,459,696,850,796
  5. Step 5: Solve for x
    x = 21,774,459,696,850,796/68,007,664.88
  6. Step 6: Final answer
    x = 320,176,552.70

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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.