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Finding the Third Proportional to 135,814,294.69 and 294,191,264.67

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Solution

The third proportional to 135,814,294.69 and 294,191,264.67 is: 637,256,191.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,814,294.69 : 294,191,264.67 = 294,191,264.67 : x
  2. Step 2: Convert to fraction form
    135,814,294.69/294,191,264.67 = 294,191,264.67/x
  3. Step 3: Cross multiply
    135,814,294.69x = 294,191,264.67 × 294,191,264.67
  4. Step 4: Simplify right side
    135,814,294.69x = 86,548,500,209,240,160
  5. Step 5: Solve for x
    x = 86,548,500,209,240,160/135,814,294.69
  6. Step 6: Final answer
    x = 637,256,191.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.