Home / 102,678,437.67-242,142,121.76

Finding the Third Proportional to 102,678,437.67 and 242,142,121.76

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Solution

The third proportional to 102,678,437.67 and 242,142,121.76 is: 571,033,300.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,678,437.67 : 242,142,121.76 = 242,142,121.76 : x
  2. Step 2: Convert to fraction form
    102,678,437.67/242,142,121.76 = 242,142,121.76/x
  3. Step 3: Cross multiply
    102,678,437.67x = 242,142,121.76 × 242,142,121.76
  4. Step 4: Simplify right side
    102,678,437.67x = 58,632,807,129,378,928
  5. Step 5: Solve for x
    x = 58,632,807,129,378,928/102,678,437.67
  6. Step 6: Final answer
    x = 571,033,300.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.