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Finding the Third Proportional to 48,736,876 and 105,876,944

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Solution

The third proportional to 48,736,876 and 105,876,944 is: 230,009,146.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,736,876 : 105,876,944 = 105,876,944 : x
  2. Step 2: Convert to fraction form
    48,736,876/105,876,944 = 105,876,944/x
  3. Step 3: Cross multiply
    48,736,876x = 105,876,944 × 105,876,944
  4. Step 4: Simplify right side
    48,736,876x = 11,209,927,270,779,136
  5. Step 5: Solve for x
    x = 11,209,927,270,779,136/48,736,876
  6. Step 6: Final answer
    x = 230,009,146.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.