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Finding the Third Proportional to 104,924,770 and 164,575,457

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Solution

The third proportional to 104,924,770 and 164,575,457 is: 258,138,102.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,924,770 : 164,575,457 = 164,575,457 : x
  2. Step 2: Convert to fraction form
    104,924,770/164,575,457 = 164,575,457/x
  3. Step 3: Cross multiply
    104,924,770x = 164,575,457 × 164,575,457
  4. Step 4: Simplify right side
    104,924,770x = 27,085,081,046,758,848
  5. Step 5: Solve for x
    x = 27,085,081,046,758,848/104,924,770
  6. Step 6: Final answer
    x = 258,138,102.63

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.