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Finding the Third Proportional to 146,283,326 and 214,575,522

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Solution

The third proportional to 146,283,326 and 214,575,522 is: 314,749,848.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,283,326 : 214,575,522 = 214,575,522 : x
  2. Step 2: Convert to fraction form
    146,283,326/214,575,522 = 214,575,522/x
  3. Step 3: Cross multiply
    146,283,326x = 214,575,522 × 214,575,522
  4. Step 4: Simplify right side
    146,283,326x = 46,042,654,641,572,480
  5. Step 5: Solve for x
    x = 46,042,654,641,572,480/146,283,326
  6. Step 6: Final answer
    x = 314,749,848.12

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