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Finding the Third Proportional to 132,578,434.41 and 312,524,232.09

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Solution

The third proportional to 132,578,434.41 and 312,524,232.09 is: 736,706,509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,578,434.41 : 312,524,232.09 = 312,524,232.09 : x
  2. Step 2: Convert to fraction form
    132,578,434.41/312,524,232.09 = 312,524,232.09/x
  3. Step 3: Cross multiply
    132,578,434.41x = 312,524,232.09 × 312,524,232.09
  4. Step 4: Simplify right side
    132,578,434.41x = 97,671,395,645,788,112
  5. Step 5: Solve for x
    x = 97,671,395,645,788,112/132,578,434.41
  6. Step 6: Final answer
    x = 736,706,509.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.