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Finding the Third Proportional to 48,219,629 and 105,803,829

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Solution

The third proportional to 48,219,629 and 105,803,829 is: 232,155,461.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,219,629 : 105,803,829 = 105,803,829 : x
  2. Step 2: Convert to fraction form
    48,219,629/105,803,829 = 105,803,829/x
  3. Step 3: Cross multiply
    48,219,629x = 105,803,829 × 105,803,829
  4. Step 4: Simplify right side
    48,219,629x = 11,194,450,231,061,240
  5. Step 5: Solve for x
    x = 11,194,450,231,061,240/48,219,629
  6. Step 6: Final answer
    x = 232,155,461.65

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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.