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Finding the Third Proportional to 213,266,537,088 and 444,185,020,008

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Solution

The third proportional to 213,266,537,088 and 444,185,020,008 is: 925,134,972,853.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,266,537,088 : 444,185,020,008 = 444,185,020,008 : x
  2. Step 2: Convert to fraction form
    213,266,537,088/444,185,020,008 = 444,185,020,008/x
  3. Step 3: Cross multiply
    213,266,537,088x = 444,185,020,008 × 444,185,020,008
  4. Step 4: Simplify right side
    213,266,537,088x = 197,300,331,999,507,358,154,752
  5. Step 5: Solve for x
    x = 197,300,331,999,507,358,154,752/213,266,537,088
  6. Step 6: Final answer
    x = 925,134,972,853.69

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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.