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Finding the Third Proportional to 135,607,427 and 294,332,535.50

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Solution

The third proportional to 135,607,427 and 294,332,535.50 is: 638,841,421.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,607,427 : 294,332,535.50 = 294,332,535.50 : x
  2. Step 2: Convert to fraction form
    135,607,427/294,332,535.50 = 294,332,535.50/x
  3. Step 3: Cross multiply
    135,607,427x = 294,332,535.50 × 294,332,535.50
  4. Step 4: Simplify right side
    135,607,427x = 86,631,641,453,858,768
  5. Step 5: Solve for x
    x = 86,631,641,453,858,768/135,607,427
  6. Step 6: Final answer
    x = 638,841,421.67

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Why These Related Problems?

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