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Finding the Third Proportional to 107,811,886.50 and 176,028,457.50

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Solution

The third proportional to 107,811,886.50 and 176,028,457.50 is: 287,408,177.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,811,886.50 : 176,028,457.50 = 176,028,457.50 : x
  2. Step 2: Convert to fraction form
    107,811,886.50/176,028,457.50 = 176,028,457.50/x
  3. Step 3: Cross multiply
    107,811,886.50x = 176,028,457.50 × 176,028,457.50
  4. Step 4: Simplify right side
    107,811,886.50x = 30,986,017,849,829,308
  5. Step 5: Solve for x
    x = 30,986,017,849,829,308/107,811,886.50
  6. Step 6: Final answer
    x = 287,408,177.85

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.