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Finding the Third Proportional to 132,578,342.63 and 288,107,063.06

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Solution

The third proportional to 132,578,342.63 and 288,107,063.06 is: 626,087,776.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,578,342.63 : 288,107,063.06 = 288,107,063.06 : x
  2. Step 2: Convert to fraction form
    132,578,342.63/288,107,063.06 = 288,107,063.06/x
  3. Step 3: Cross multiply
    132,578,342.63x = 288,107,063.06 × 288,107,063.06
  4. Step 4: Simplify right side
    132,578,342.63x = 83,005,679,786,499,344
  5. Step 5: Solve for x
    x = 83,005,679,786,499,344/132,578,342.63
  6. Step 6: Final answer
    x = 626,087,776.80

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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.