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Finding the Third Proportional to 102,764,943 and 221,572,146.09

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Solution

The third proportional to 102,764,943 and 221,572,146.09 is: 477,733,111.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,764,943 : 221,572,146.09 = 221,572,146.09 : x
  2. Step 2: Convert to fraction form
    102,764,943/221,572,146.09 = 221,572,146.09/x
  3. Step 3: Cross multiply
    102,764,943x = 221,572,146.09 × 221,572,146.09
  4. Step 4: Simplify right side
    102,764,943x = 49,094,215,924,590,096
  5. Step 5: Solve for x
    x = 49,094,215,924,590,096/102,764,943
  6. Step 6: Final answer
    x = 477,733,111.03

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.