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Finding the Third Proportional to 123,479,705.81 and 191,309,009.63

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Solution

The third proportional to 123,479,705.81 and 191,309,009.63 is: 296,397,994.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,479,705.81 : 191,309,009.63 = 191,309,009.63 : x
  2. Step 2: Convert to fraction form
    123,479,705.81/191,309,009.63 = 191,309,009.63/x
  3. Step 3: Cross multiply
    123,479,705.81x = 191,309,009.63 × 191,309,009.63
  4. Step 4: Simplify right side
    123,479,705.81x = 36,599,137,163,698,344
  5. Step 5: Solve for x
    x = 36,599,137,163,698,344/123,479,705.81
  6. Step 6: Final answer
    x = 296,397,994.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.