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Finding the Third Proportional to 70,483,680 and 144,762,048

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Solution

The third proportional to 70,483,680 and 144,762,048 is: 297,317,769.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,483,680 : 144,762,048 = 144,762,048 : x
  2. Step 2: Convert to fraction form
    70,483,680/144,762,048 = 144,762,048/x
  3. Step 3: Cross multiply
    70,483,680x = 144,762,048 × 144,762,048
  4. Step 4: Simplify right side
    70,483,680x = 20,956,050,541,154,304
  5. Step 5: Solve for x
    x = 20,956,050,541,154,304/70,483,680
  6. Step 6: Final answer
    x = 297,317,769.75

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.