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Finding the Third Proportional to 46,694,961 and 102,186,387

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Solution

The third proportional to 46,694,961 and 102,186,387 is: 223,622,794.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,694,961 : 102,186,387 = 102,186,387 : x
  2. Step 2: Convert to fraction form
    46,694,961/102,186,387 = 102,186,387/x
  3. Step 3: Cross multiply
    46,694,961x = 102,186,387 × 102,186,387
  4. Step 4: Simplify right side
    46,694,961x = 10,442,057,688,113,768
  5. Step 5: Solve for x
    x = 10,442,057,688,113,768/46,694,961
  6. Step 6: Final answer
    x = 223,622,794.93

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.