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Finding the Third Proportional to 45,295,158.23 and 69,260,085.91

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Solution

The third proportional to 45,295,158.23 and 69,260,085.91 is: 105,904,465.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,295,158.23 : 69,260,085.91 = 69,260,085.91 : x
  2. Step 2: Convert to fraction form
    45,295,158.23/69,260,085.91 = 69,260,085.91/x
  3. Step 3: Cross multiply
    45,295,158.23x = 69,260,085.91 × 69,260,085.91
  4. Step 4: Simplify right side
    45,295,158.23x = 4,796,959,500,823,249
  5. Step 5: Solve for x
    x = 4,796,959,500,823,249/45,295,158.23
  6. Step 6: Final answer
    x = 105,904,465.02

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.