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Finding the Third Proportional to 48,893,543 and 103,616,330

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Solution

The third proportional to 48,893,543 and 103,616,330 is: 219,586,129.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,893,543 : 103,616,330 = 103,616,330 : x
  2. Step 2: Convert to fraction form
    48,893,543/103,616,330 = 103,616,330/x
  3. Step 3: Cross multiply
    48,893,543x = 103,616,330 × 103,616,330
  4. Step 4: Simplify right side
    48,893,543x = 10,736,343,842,668,900
  5. Step 5: Solve for x
    x = 10,736,343,842,668,900/48,893,543
  6. Step 6: Final answer
    x = 219,586,129.05

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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.