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Finding the Third Proportional to 48,125,428.50 and 103,921,215

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Solution

The third proportional to 48,125,428.50 and 103,921,215 is: 224,405,667.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,125,428.50 : 103,921,215 = 103,921,215 : x
  2. Step 2: Convert to fraction form
    48,125,428.50/103,921,215 = 103,921,215/x
  3. Step 3: Cross multiply
    48,125,428.50x = 103,921,215 × 103,921,215
  4. Step 4: Simplify right side
    48,125,428.50x = 10,799,618,927,076,224
  5. Step 5: Solve for x
    x = 10,799,618,927,076,224/48,125,428.50
  6. Step 6: Final answer
    x = 224,405,667.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.