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Finding the Third Proportional to 155,452,500,702 and 238,835,586,501

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Solution

The third proportional to 155,452,500,702 and 238,835,586,501 is: 366,944,482,215.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,452,500,702 : 238,835,586,501 = 238,835,586,501 : x
  2. Step 2: Convert to fraction form
    155,452,500,702/238,835,586,501 = 238,835,586,501/x
  3. Step 3: Cross multiply
    155,452,500,702x = 238,835,586,501 × 238,835,586,501
  4. Step 4: Simplify right side
    155,452,500,702x = 57,042,437,379,276,652,150,784
  5. Step 5: Solve for x
    x = 57,042,437,379,276,652,150,784/155,452,500,702
  6. Step 6: Final answer
    x = 366,944,482,215.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.