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Finding the Third Proportional to 195,094,146.70 and 455,235,395.06

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Solution

The third proportional to 195,094,146.70 and 455,235,395.06 is: 1,062,252,601.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,094,146.70 : 455,235,395.06 = 455,235,395.06 : x
  2. Step 2: Convert to fraction form
    195,094,146.70/455,235,395.06 = 455,235,395.06/x
  3. Step 3: Cross multiply
    195,094,146.70x = 455,235,395.06 × 455,235,395.06
  4. Step 4: Simplify right side
    195,094,146.70x = 207,239,264,917,710,464
  5. Step 5: Solve for x
    x = 207,239,264,917,710,464/195,094,146.70
  6. Step 6: Final answer
    x = 1,062,252,601.72

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.