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Finding the Third Proportional to 49,598,445 and 105,097,146

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Solution

The third proportional to 49,598,445 and 105,097,146 is: 222,696,701.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,598,445 : 105,097,146 = 105,097,146 : x
  2. Step 2: Convert to fraction form
    49,598,445/105,097,146 = 105,097,146/x
  3. Step 3: Cross multiply
    49,598,445x = 105,097,146 × 105,097,146
  4. Step 4: Simplify right side
    49,598,445x = 11,045,410,097,345,316
  5. Step 5: Solve for x
    x = 11,045,410,097,345,316/49,598,445
  6. Step 6: Final answer
    x = 222,696,701.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.