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Finding the Third Proportional to 140,142,771 and 306,678,022.50

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Solution

The third proportional to 140,142,771 and 306,678,022.50 is: 671,111,387.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,142,771 : 306,678,022.50 = 306,678,022.50 : x
  2. Step 2: Convert to fraction form
    140,142,771/306,678,022.50 = 306,678,022.50/x
  3. Step 3: Cross multiply
    140,142,771x = 306,678,022.50 × 306,678,022.50
  4. Step 4: Simplify right side
    140,142,771x = 94,051,409,484,510,512
  5. Step 5: Solve for x
    x = 94,051,409,484,510,512/140,142,771
  6. Step 6: Final answer
    x = 671,111,387.43

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Why These Related Problems?

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