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Finding the Third Proportional to 151,970,512.50 and 358,388,678.25

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Solution

The third proportional to 151,970,512.50 and 358,388,678.25 is: 845,180,045.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,970,512.50 : 358,388,678.25 = 358,388,678.25 : x
  2. Step 2: Convert to fraction form
    151,970,512.50/358,388,678.25 = 358,388,678.25/x
  3. Step 3: Cross multiply
    151,970,512.50x = 358,388,678.25 × 358,388,678.25
  4. Step 4: Simplify right side
    151,970,512.50x = 128,442,444,697,782,016
  5. Step 5: Solve for x
    x = 128,442,444,697,782,016/151,970,512.50
  6. Step 6: Final answer
    x = 845,180,045.69

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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.