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Finding the Third Proportional to 213,266,537,089 and 444,185,020,010

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Solution

The third proportional to 213,266,537,089 and 444,185,020,010 is: 925,134,972,857.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,266,537,089 : 444,185,020,010 = 444,185,020,010 : x
  2. Step 2: Convert to fraction form
    213,266,537,089/444,185,020,010 = 444,185,020,010/x
  3. Step 3: Cross multiply
    213,266,537,089x = 444,185,020,010 × 444,185,020,010
  4. Step 4: Simplify right side
    213,266,537,089x = 197,300,332,001,284,098,883,584
  5. Step 5: Solve for x
    x = 197,300,332,001,284,098,883,584/213,266,537,089
  6. Step 6: Final answer
    x = 925,134,972,857.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.