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Finding the Third Proportional to 159,460,526 and 242,416,371

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Solution

The third proportional to 159,460,526 and 242,416,371 is: 368,528,176.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,460,526 : 242,416,371 = 242,416,371 : x
  2. Step 2: Convert to fraction form
    159,460,526/242,416,371 = 242,416,371/x
  3. Step 3: Cross multiply
    159,460,526x = 242,416,371 × 242,416,371
  4. Step 4: Simplify right side
    159,460,526x = 58,765,696,928,809,640
  5. Step 5: Solve for x
    x = 58,765,696,928,809,640/159,460,526
  6. Step 6: Final answer
    x = 368,528,176.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.