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Finding the Third Proportional to 115,312,977 and 185,691,873

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Solution

The third proportional to 115,312,977 and 185,691,873 is: 299,025,075.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,312,977 : 185,691,873 = 185,691,873 : x
  2. Step 2: Convert to fraction form
    115,312,977/185,691,873 = 185,691,873/x
  3. Step 3: Cross multiply
    115,312,977x = 185,691,873 × 185,691,873
  4. Step 4: Simplify right side
    115,312,977x = 34,481,471,698,248,128
  5. Step 5: Solve for x
    x = 34,481,471,698,248,128/115,312,977
  6. Step 6: Final answer
    x = 299,025,075.89

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.