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Finding the Third Proportional to 103,771,214 and 152,533,866

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Solution

The third proportional to 103,771,214 and 152,533,866 is: 224,210,350.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,771,214 : 152,533,866 = 152,533,866 : x
  2. Step 2: Convert to fraction form
    103,771,214/152,533,866 = 152,533,866/x
  3. Step 3: Cross multiply
    103,771,214x = 152,533,866 × 152,533,866
  4. Step 4: Simplify right side
    103,771,214x = 23,266,580,276,905,956
  5. Step 5: Solve for x
    x = 23,266,580,276,905,956/103,771,214
  6. Step 6: Final answer
    x = 224,210,350.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.