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Finding the Third Proportional to 154,108,048.50 and 232,468,440.75

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Solution

The third proportional to 154,108,048.50 and 232,468,440.75 is: 350,673,287.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,108,048.50 : 232,468,440.75 = 232,468,440.75 : x
  2. Step 2: Convert to fraction form
    154,108,048.50/232,468,440.75 = 232,468,440.75/x
  3. Step 3: Cross multiply
    154,108,048.50x = 232,468,440.75 × 232,468,440.75
  4. Step 4: Simplify right side
    154,108,048.50x = 54,041,575,944,736,264
  5. Step 5: Solve for x
    x = 54,041,575,944,736,264/154,108,048.50
  6. Step 6: Final answer
    x = 350,673,287.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.