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Finding the Third Proportional to 181,085,638 and 392,254,785

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Solution

The third proportional to 181,085,638 and 392,254,785 is: 849,674,320.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,085,638 : 392,254,785 = 392,254,785 : x
  2. Step 2: Convert to fraction form
    181,085,638/392,254,785 = 392,254,785/x
  3. Step 3: Cross multiply
    181,085,638x = 392,254,785 × 392,254,785
  4. Step 4: Simplify right side
    181,085,638x = 153,863,816,355,396,224
  5. Step 5: Solve for x
    x = 153,863,816,355,396,224/181,085,638
  6. Step 6: Final answer
    x = 849,674,320.14

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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.