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Finding the Third Proportional to 181,085,544 and 392,254,616.25

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Solution

The third proportional to 181,085,544 and 392,254,616.25 is: 849,674,030.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,085,544 : 392,254,616.25 = 392,254,616.25 : x
  2. Step 2: Convert to fraction form
    181,085,544/392,254,616.25 = 392,254,616.25/x
  3. Step 3: Cross multiply
    181,085,544x = 392,254,616.25 × 392,254,616.25
  4. Step 4: Simplify right side
    181,085,544x = 153,863,683,969,434,752
  5. Step 5: Solve for x
    x = 153,863,683,969,434,752/181,085,544
  6. Step 6: Final answer
    x = 849,674,030.13

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.