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Finding the Third Proportional to 90,289,742 and 137,547,093

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Solution

The third proportional to 90,289,742 and 137,547,093 is: 209,538,784.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,289,742 : 137,547,093 = 137,547,093 : x
  2. Step 2: Convert to fraction form
    90,289,742/137,547,093 = 137,547,093/x
  3. Step 3: Cross multiply
    90,289,742x = 137,547,093 × 137,547,093
  4. Step 4: Simplify right side
    90,289,742x = 18,919,202,792,750,648
  5. Step 5: Solve for x
    x = 18,919,202,792,750,648/90,289,742
  6. Step 6: Final answer
    x = 209,538,784.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.