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Finding the Third Proportional to 151,219,218.75 and 233,544,498.75

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Solution

The third proportional to 151,219,218.75 and 233,544,498.75 is: 360,688,498.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,219,218.75 : 233,544,498.75 = 233,544,498.75 : x
  2. Step 2: Convert to fraction form
    151,219,218.75/233,544,498.75 = 233,544,498.75/x
  3. Step 3: Cross multiply
    151,219,218.75x = 233,544,498.75 × 233,544,498.75
  4. Step 4: Simplify right side
    151,219,218.75x = 54,543,032,896,388,752
  5. Step 5: Solve for x
    x = 54,543,032,896,388,752/151,219,218.75
  6. Step 6: Final answer
    x = 360,688,498.11

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1.5x scale

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.