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Finding the Third Proportional to 45,437,266.50 and 97,802,949

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Solution

The third proportional to 45,437,266.50 and 97,802,949 is: 210,519,196.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,437,266.50 : 97,802,949 = 97,802,949 : x
  2. Step 2: Convert to fraction form
    45,437,266.50/97,802,949 = 97,802,949/x
  3. Step 3: Cross multiply
    45,437,266.50x = 97,802,949 × 97,802,949
  4. Step 4: Simplify right side
    45,437,266.50x = 9,565,416,833,096,600
  5. Step 5: Solve for x
    x = 9,565,416,833,096,600/45,437,266.50
  6. Step 6: Final answer
    x = 210,519,196.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.