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Finding the Third Proportional to 213,266,537,090 and 444,185,020,012

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Solution

The third proportional to 213,266,537,090 and 444,185,020,012 is: 925,134,972,861.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,266,537,090 : 444,185,020,012 = 444,185,020,012 : x
  2. Step 2: Convert to fraction form
    213,266,537,090/444,185,020,012 = 444,185,020,012/x
  3. Step 3: Cross multiply
    213,266,537,090x = 444,185,020,012 × 444,185,020,012
  4. Step 4: Simplify right side
    213,266,537,090x = 197,300,332,003,060,839,612,416
  5. Step 5: Solve for x
    x = 197,300,332,003,060,839,612,416/213,266,537,090
  6. Step 6: Final answer
    x = 925,134,972,861.68

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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.