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Finding the Third Proportional to 197,512,038 and 429,794,176.50

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Solution

The third proportional to 197,512,038 and 429,794,176.50 is: 935,249,496.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,512,038 : 429,794,176.50 = 429,794,176.50 : x
  2. Step 2: Convert to fraction form
    197,512,038/429,794,176.50 = 429,794,176.50/x
  3. Step 3: Cross multiply
    197,512,038x = 429,794,176.50 × 429,794,176.50
  4. Step 4: Simplify right side
    197,512,038x = 184,723,034,153,313,152
  5. Step 5: Solve for x
    x = 184,723,034,153,313,152/197,512,038
  6. Step 6: Final answer
    x = 935,249,496.81

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.