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Finding the Third Proportional to 123,425,983,151 and 188,827,934,773

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Solution

The third proportional to 123,425,983,151 and 188,827,934,773 is: 288,885,597,994.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,425,983,151 : 188,827,934,773 = 188,827,934,773 : x
  2. Step 2: Convert to fraction form
    123,425,983,151/188,827,934,773 = 188,827,934,773/x
  3. Step 3: Cross multiply
    123,425,983,151x = 188,827,934,773 × 188,827,934,773
  4. Step 4: Simplify right side
    123,425,983,151x = 35,655,988,950,636,341,231,616
  5. Step 5: Solve for x
    x = 35,655,988,950,636,341,231,616/123,425,983,151
  6. Step 6: Final answer
    x = 288,885,597,994.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.