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Finding the Third Proportional to 176,315,716.13 and 411,726,044.81

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Solution

The third proportional to 176,315,716.13 and 411,726,044.81 is: 961,447,678.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,315,716.13 : 411,726,044.81 = 411,726,044.81 : x
  2. Step 2: Convert to fraction form
    176,315,716.13/411,726,044.81 = 411,726,044.81/x
  3. Step 3: Cross multiply
    176,315,716.13x = 411,726,044.81 × 411,726,044.81
  4. Step 4: Simplify right side
    176,315,716.13x = 169,518,335,976,944,768
  5. Step 5: Solve for x
    x = 169,518,335,976,944,768/176,315,716.13
  6. Step 6: Final answer
    x = 961,447,678.64

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.