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Finding the Third Proportional to 143,278,417.13 and 306,990,318.38

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Solution

The third proportional to 143,278,417.13 and 306,990,318.38 is: 657,761,702.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,278,417.13 : 306,990,318.38 = 306,990,318.38 : x
  2. Step 2: Convert to fraction form
    143,278,417.13/306,990,318.38 = 306,990,318.38/x
  3. Step 3: Cross multiply
    143,278,417.13x = 306,990,318.38 × 306,990,318.38
  4. Step 4: Simplify right side
    143,278,417.13x = 94,243,055,575,983,856
  5. Step 5: Solve for x
    x = 94,243,055,575,983,856/143,278,417.13
  6. Step 6: Final answer
    x = 657,761,702.47

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.