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Finding the Third Proportional to 46,157,235.75 and 73,088,800.88

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Solution

The third proportional to 46,157,235.75 and 73,088,800.88 is: 115,734,244.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,157,235.75 : 73,088,800.88 = 73,088,800.88 : x
  2. Step 2: Convert to fraction form
    46,157,235.75/73,088,800.88 = 73,088,800.88/x
  3. Step 3: Cross multiply
    46,157,235.75x = 73,088,800.88 × 73,088,800.88
  4. Step 4: Simplify right side
    46,157,235.75x = 5,341,972,813,345,401
  5. Step 5: Solve for x
    x = 5,341,972,813,345,401/46,157,235.75
  6. Step 6: Final answer
    x = 115,734,244.62

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.