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Finding the Third Proportional to 235,920,784 and 353,881,206.38

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Solution

The third proportional to 235,920,784 and 353,881,206.38 is: 530,821,855.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,920,784 : 353,881,206.38 = 353,881,206.38 : x
  2. Step 2: Convert to fraction form
    235,920,784/353,881,206.38 = 353,881,206.38/x
  3. Step 3: Cross multiply
    235,920,784x = 353,881,206.38 × 353,881,206.38
  4. Step 4: Simplify right side
    235,920,784x = 125,231,908,225,425,344
  5. Step 5: Solve for x
    x = 125,231,908,225,425,344/235,920,784
  6. Step 6: Final answer
    x = 530,821,855.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.