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Finding the Third Proportional to 48,106,596 and 104,896,312

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Solution

The third proportional to 48,106,596 and 104,896,312 is: 228,726,145.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,106,596 : 104,896,312 = 104,896,312 : x
  2. Step 2: Convert to fraction form
    48,106,596/104,896,312 = 104,896,312/x
  3. Step 3: Cross multiply
    48,106,596x = 104,896,312 × 104,896,312
  4. Step 4: Simplify right side
    48,106,596x = 11,003,236,271,201,344
  5. Step 5: Solve for x
    x = 11,003,236,271,201,344/48,106,596
  6. Step 6: Final answer
    x = 228,726,145.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.