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Finding the Third Proportional to 118,611,977,298.50 and 180,693,092,223

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Solution

The third proportional to 118,611,977,298.50 and 180,693,092,223 is: 275,267,256,484.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,611,977,298.50 : 180,693,092,223 = 180,693,092,223 : x
  2. Step 2: Convert to fraction form
    118,611,977,298.50/180,693,092,223 = 180,693,092,223/x
  3. Step 3: Cross multiply
    118,611,977,298.50x = 180,693,092,223 × 180,693,092,223
  4. Step 4: Simplify right side
    118,611,977,298.50x = 32,649,993,577,109,584,347,136
  5. Step 5: Solve for x
    x = 32,649,993,577,109,584,347,136/118,611,977,298.50
  6. Step 6: Final answer
    x = 275,267,256,484.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.