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Finding the Third Proportional to 40,509,578.25 and 88,702,906.50

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Solution

The third proportional to 40,509,578.25 and 88,702,906.50 is: 194,230,746.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,509,578.25 : 88,702,906.50 = 88,702,906.50 : x
  2. Step 2: Convert to fraction form
    40,509,578.25/88,702,906.50 = 88,702,906.50/x
  3. Step 3: Cross multiply
    40,509,578.25x = 88,702,906.50 × 88,702,906.50
  4. Step 4: Simplify right side
    40,509,578.25x = 7,868,205,621,547,742
  5. Step 5: Solve for x
    x = 7,868,205,621,547,742/40,509,578.25
  6. Step 6: Final answer
    x = 194,230,746.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.