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Finding the Third Proportional to 75,402,208,188 and 112,449,433,140

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Solution

The third proportional to 75,402,208,188 and 112,449,433,140 is: 167,699,001,360.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,402,208,188 : 112,449,433,140 = 112,449,433,140 : x
  2. Step 2: Convert to fraction form
    75,402,208,188/112,449,433,140 = 112,449,433,140/x
  3. Step 3: Cross multiply
    75,402,208,188x = 112,449,433,140 × 112,449,433,140
  4. Step 4: Simplify right side
    75,402,208,188x = 12,644,875,013,507,329,818,624
  5. Step 5: Solve for x
    x = 12,644,875,013,507,329,818,624/75,402,208,188
  6. Step 6: Final answer
    x = 167,699,001,360.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.