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Finding the Third Proportional to 178,362,219 and 391,799,535

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Solution

The third proportional to 178,362,219 and 391,799,535 is: 860,646,814.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,362,219 : 391,799,535 = 391,799,535 : x
  2. Step 2: Convert to fraction form
    178,362,219/391,799,535 = 391,799,535/x
  3. Step 3: Cross multiply
    178,362,219x = 391,799,535 × 391,799,535
  4. Step 4: Simplify right side
    178,362,219x = 153,506,875,626,216,224
  5. Step 5: Solve for x
    x = 153,506,875,626,216,224/178,362,219
  6. Step 6: Final answer
    x = 860,646,814.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.