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Finding the Third Proportional to 115,312,995.98 and 185,691,901.36

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Solution

The third proportional to 115,312,995.98 and 185,691,901.36 is: 299,025,117.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,312,995.98 : 185,691,901.36 = 185,691,901.36 : x
  2. Step 2: Convert to fraction form
    115,312,995.98/185,691,901.36 = 185,691,901.36/x
  3. Step 3: Cross multiply
    115,312,995.98x = 185,691,901.36 × 185,691,901.36
  4. Step 4: Simplify right side
    115,312,995.98x = 34,481,482,230,461,716
  5. Step 5: Solve for x
    x = 34,481,482,230,461,716/115,312,995.98
  6. Step 6: Final answer
    x = 299,025,117.99

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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.