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Finding the Third Proportional to 164,006,240 and 230,695,440

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Solution

The third proportional to 164,006,240 and 230,695,440 is: 324,502,202.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,006,240 : 230,695,440 = 230,695,440 : x
  2. Step 2: Convert to fraction form
    164,006,240/230,695,440 = 230,695,440/x
  3. Step 3: Cross multiply
    164,006,240x = 230,695,440 × 230,695,440
  4. Step 4: Simplify right side
    164,006,240x = 53,220,386,036,793,600
  5. Step 5: Solve for x
    x = 53,220,386,036,793,600/164,006,240
  6. Step 6: Final answer
    x = 324,502,202.09

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.