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Finding the Third Proportional to 72,176,001.75 and 148,178,266.31

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Solution

The third proportional to 72,176,001.75 and 148,178,266.31 is: 304,211,899.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,176,001.75 : 148,178,266.31 = 148,178,266.31 : x
  2. Step 2: Convert to fraction form
    72,176,001.75/148,178,266.31 = 148,178,266.31/x
  3. Step 3: Cross multiply
    72,176,001.75x = 148,178,266.31 × 148,178,266.31
  4. Step 4: Simplify right side
    72,176,001.75x = 21,956,798,607,378,172
  5. Step 5: Solve for x
    x = 21,956,798,607,378,172/72,176,001.75
  6. Step 6: Final answer
    x = 304,211,899.73

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.