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Finding the Third Proportional to 90,157,428 and 142,876,188

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Solution

The third proportional to 90,157,428 and 142,876,188 is: 226,421,777.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,157,428 : 142,876,188 = 142,876,188 : x
  2. Step 2: Convert to fraction form
    90,157,428/142,876,188 = 142,876,188/x
  3. Step 3: Cross multiply
    90,157,428x = 142,876,188 × 142,876,188
  4. Step 4: Simplify right side
    90,157,428x = 20,413,605,097,411,344
  5. Step 5: Solve for x
    x = 20,413,605,097,411,344/90,157,428
  6. Step 6: Final answer
    x = 226,421,777.44

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.