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Finding the Third Proportional to 129,016,340,610 and 179,386,908,967.50

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Solution

The third proportional to 129,016,340,610 and 179,386,908,967.50 is: 249,423,158,002.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,016,340,610 : 179,386,908,967.50 = 179,386,908,967.50 : x
  2. Step 2: Convert to fraction form
    129,016,340,610/179,386,908,967.50 = 179,386,908,967.50/x
  3. Step 3: Cross multiply
    129,016,340,610x = 179,386,908,967.50 × 179,386,908,967.50
  4. Step 4: Simplify right side
    129,016,340,610x = 32,179,663,108,914,133,598,208
  5. Step 5: Solve for x
    x = 32,179,663,108,914,133,598,208/129,016,340,610
  6. Step 6: Final answer
    x = 249,423,158,002.82

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.