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Finding the Third Proportional to 106,567,389 and 233,064,666

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Solution

The third proportional to 106,567,389 and 233,064,666 is: 509,716,331.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,567,389 : 233,064,666 = 233,064,666 : x
  2. Step 2: Convert to fraction form
    106,567,389/233,064,666 = 233,064,666/x
  3. Step 3: Cross multiply
    106,567,389x = 233,064,666 × 233,064,666
  4. Step 4: Simplify right side
    106,567,389x = 54,319,138,537,691,552
  5. Step 5: Solve for x
    x = 54,319,138,537,691,552/106,567,389
  6. Step 6: Final answer
    x = 509,716,331.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.