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Finding the Third Proportional to 106,567,386 and 233,064,660

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Solution

The third proportional to 106,567,386 and 233,064,660 is: 509,716,319.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,567,386 : 233,064,660 = 233,064,660 : x
  2. Step 2: Convert to fraction form
    106,567,386/233,064,660 = 233,064,660/x
  3. Step 3: Cross multiply
    106,567,386x = 233,064,660 × 233,064,660
  4. Step 4: Simplify right side
    106,567,386x = 54,319,135,740,915,600
  5. Step 5: Solve for x
    x = 54,319,135,740,915,600/106,567,386
  6. Step 6: Final answer
    x = 509,716,319.22

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