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Finding the Third Proportional to 106,567,392 and 233,064,672

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Solution

The third proportional to 106,567,392 and 233,064,672 is: 509,716,343.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,567,392 : 233,064,672 = 233,064,672 : x
  2. Step 2: Convert to fraction form
    106,567,392/233,064,672 = 233,064,672/x
  3. Step 3: Cross multiply
    106,567,392x = 233,064,672 × 233,064,672
  4. Step 4: Simplify right side
    106,567,392x = 54,319,141,334,467,584
  5. Step 5: Solve for x
    x = 54,319,141,334,467,584/106,567,392
  6. Step 6: Final answer
    x = 509,716,343.01

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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.