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Finding the Third Proportional to 86,198,824 and 191,529,526

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Solution

The third proportional to 86,198,824 and 191,529,526 is: 425,569,139.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,198,824 : 191,529,526 = 191,529,526 : x
  2. Step 2: Convert to fraction form
    86,198,824/191,529,526 = 191,529,526/x
  3. Step 3: Cross multiply
    86,198,824x = 191,529,526 × 191,529,526
  4. Step 4: Simplify right side
    86,198,824x = 36,683,559,329,784,672
  5. Step 5: Solve for x
    x = 36,683,559,329,784,672/86,198,824
  6. Step 6: Final answer
    x = 425,569,139.20

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.