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Finding the Third Proportional to 105,577,942 and 220,808,924

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Solution

The third proportional to 105,577,942 and 220,808,924 is: 461,806,509.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,577,942 : 220,808,924 = 220,808,924 : x
  2. Step 2: Convert to fraction form
    105,577,942/220,808,924 = 220,808,924/x
  3. Step 3: Cross multiply
    105,577,942x = 220,808,924 × 220,808,924
  4. Step 4: Simplify right side
    105,577,942x = 48,756,580,918,037,776
  5. Step 5: Solve for x
    x = 48,756,580,918,037,776/105,577,942
  6. Step 6: Final answer
    x = 461,806,509.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.