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Finding the Third Proportional to 113,856,906 and 174,928,547

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Solution

The third proportional to 113,856,906 and 174,928,547 is: 268,758,370.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,856,906 : 174,928,547 = 174,928,547 : x
  2. Step 2: Convert to fraction form
    113,856,906/174,928,547 = 174,928,547/x
  3. Step 3: Cross multiply
    113,856,906x = 174,928,547 × 174,928,547
  4. Step 4: Simplify right side
    113,856,906x = 30,599,996,555,531,208
  5. Step 5: Solve for x
    x = 30,599,996,555,531,208/113,856,906
  6. Step 6: Final answer
    x = 268,758,370.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.