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Finding the Third Proportional to 113,223,313.69 and 247,645,203.19

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Solution

The third proportional to 113,223,313.69 and 247,645,203.19 is: 541,656,525.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,223,313.69 : 247,645,203.19 = 247,645,203.19 : x
  2. Step 2: Convert to fraction form
    113,223,313.69/247,645,203.19 = 247,645,203.19/x
  3. Step 3: Cross multiply
    113,223,313.69x = 247,645,203.19 × 247,645,203.19
  4. Step 4: Simplify right side
    113,223,313.69x = 61,328,146,661,778,160
  5. Step 5: Solve for x
    x = 61,328,146,661,778,160/113,223,313.69
  6. Step 6: Final answer
    x = 541,656,525.18

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Why These Related Problems?

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