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Finding the Third Proportional to 102,299,648 and 219,190,944

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Solution

The third proportional to 102,299,648 and 219,190,944 is: 469,646,483.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,299,648 : 219,190,944 = 219,190,944 : x
  2. Step 2: Convert to fraction form
    102,299,648/219,190,944 = 219,190,944/x
  3. Step 3: Cross multiply
    102,299,648x = 219,190,944 × 219,190,944
  4. Step 4: Simplify right side
    102,299,648x = 48,044,669,931,611,136
  5. Step 5: Solve for x
    x = 48,044,669,931,611,136/102,299,648
  6. Step 6: Final answer
    x = 469,646,483.35

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.