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Finding the Third Proportional to 146,283,320 and 214,575,513.75

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Solution

The third proportional to 146,283,320 and 214,575,513.75 is: 314,749,836.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,283,320 : 214,575,513.75 = 214,575,513.75 : x
  2. Step 2: Convert to fraction form
    146,283,320/214,575,513.75 = 214,575,513.75/x
  3. Step 3: Cross multiply
    146,283,320x = 214,575,513.75 × 214,575,513.75
  4. Step 4: Simplify right side
    146,283,320x = 46,042,651,101,076,440
  5. Step 5: Solve for x
    x = 46,042,651,101,076,440/146,283,320
  6. Step 6: Final answer
    x = 314,749,836.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.