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Finding the Third Proportional to 75,970,229.06 and 154,625,547.38

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Solution

The third proportional to 75,970,229.06 and 154,625,547.38 is: 314,716,174.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,970,229.06 : 154,625,547.38 = 154,625,547.38 : x
  2. Step 2: Convert to fraction form
    75,970,229.06/154,625,547.38 = 154,625,547.38/x
  3. Step 3: Cross multiply
    75,970,229.06x = 154,625,547.38 × 154,625,547.38
  4. Step 4: Simplify right side
    75,970,229.06x = 23,909,059,901,018,368
  5. Step 5: Solve for x
    x = 23,909,059,901,018,368/75,970,229.06
  6. Step 6: Final answer
    x = 314,716,174.96

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.