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Finding the Third Proportional to 185,749,903.69 and 404,186,208.19

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Solution

The third proportional to 185,749,903.69 and 404,186,208.19 is: 879,497,042.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,749,903.69 : 404,186,208.19 = 404,186,208.19 : x
  2. Step 2: Convert to fraction form
    185,749,903.69/404,186,208.19 = 404,186,208.19/x
  3. Step 3: Cross multiply
    185,749,903.69x = 404,186,208.19 × 404,186,208.19
  4. Step 4: Simplify right side
    185,749,903.69x = 163,366,490,888,989,088
  5. Step 5: Solve for x
    x = 163,366,490,888,989,088/185,749,903.69
  6. Step 6: Final answer
    x = 879,497,042.24

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.