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Finding the Third Proportional to 48,573,095 and 105,217,462

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Solution

The third proportional to 48,573,095 and 105,217,462 is: 227,918,651.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,573,095 : 105,217,462 = 105,217,462 : x
  2. Step 2: Convert to fraction form
    48,573,095/105,217,462 = 105,217,462/x
  3. Step 3: Cross multiply
    48,573,095x = 105,217,462 × 105,217,462
  4. Step 4: Simplify right side
    48,573,095x = 11,070,714,309,721,444
  5. Step 5: Solve for x
    x = 11,070,714,309,721,444/48,573,095
  6. Step 6: Final answer
    x = 227,918,651.46

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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.