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Finding the Third Proportional to 140,155,165.69 and 306,700,723.69

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Solution

The third proportional to 140,155,165.69 and 306,700,723.69 is: 671,151,387.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,155,165.69 : 306,700,723.69 = 306,700,723.69 : x
  2. Step 2: Convert to fraction form
    140,155,165.69/306,700,723.69 = 306,700,723.69/x
  3. Step 3: Cross multiply
    140,155,165.69x = 306,700,723.69 × 306,700,723.69
  4. Step 4: Simplify right side
    140,155,165.69x = 94,065,333,910,436,224
  5. Step 5: Solve for x
    x = 94,065,333,910,436,224/140,155,165.69
  6. Step 6: Final answer
    x = 671,151,387.46

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.