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Finding the Third Proportional to 75,637,172.25 and 111,292,906.50

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Solution

The third proportional to 75,637,172.25 and 111,292,906.50 is: 163,756,928.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,637,172.25 : 111,292,906.50 = 111,292,906.50 : x
  2. Step 2: Convert to fraction form
    75,637,172.25/111,292,906.50 = 111,292,906.50/x
  3. Step 3: Cross multiply
    75,637,172.25x = 111,292,906.50 × 111,292,906.50
  4. Step 4: Simplify right side
    75,637,172.25x = 12,386,111,037,217,742
  5. Step 5: Solve for x
    x = 12,386,111,037,217,742/75,637,172.25
  6. Step 6: Final answer
    x = 163,756,928.89

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.