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Finding the Third Proportional to 71,828,495.30 and 157,073,107.92

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Solution

The third proportional to 71,828,495.30 and 157,073,107.92 is: 343,484,311.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,828,495.30 : 157,073,107.92 = 157,073,107.92 : x
  2. Step 2: Convert to fraction form
    71,828,495.30/157,073,107.92 = 157,073,107.92/x
  3. Step 3: Cross multiply
    71,828,495.30x = 157,073,107.92 × 157,073,107.92
  4. Step 4: Simplify right side
    71,828,495.30x = 24,671,961,232,235,420
  5. Step 5: Solve for x
    x = 24,671,961,232,235,420/71,828,495.30
  6. Step 6: Final answer
    x = 343,484,311.21

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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.