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Finding the Third Proportional to 237,368,869,492 and 320,266,337,858.50

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Solution

The third proportional to 237,368,869,492 and 320,266,337,858.50 is: 432,114,486,557.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,368,869,492 : 320,266,337,858.50 = 320,266,337,858.50 : x
  2. Step 2: Convert to fraction form
    237,368,869,492/320,266,337,858.50 = 320,266,337,858.50/x
  3. Step 3: Cross multiply
    237,368,869,492x = 320,266,337,858.50 × 320,266,337,858.50
  4. Step 4: Simplify right side
    237,368,869,492x = 102,570,527,165,294,869,217,280
  5. Step 5: Solve for x
    x = 102,570,527,165,294,869,217,280/237,368,869,492
  6. Step 6: Final answer
    x = 432,114,486,557.61

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.