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Finding the Third Proportional to 234,403,164 and 344,829,420

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Solution

The third proportional to 234,403,164 and 344,829,420 is: 507,276,978.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,403,164 : 344,829,420 = 344,829,420 : x
  2. Step 2: Convert to fraction form
    234,403,164/344,829,420 = 344,829,420/x
  3. Step 3: Cross multiply
    234,403,164x = 344,829,420 × 344,829,420
  4. Step 4: Simplify right side
    234,403,164x = 118,907,328,897,536,400
  5. Step 5: Solve for x
    x = 118,907,328,897,536,400/234,403,164
  6. Step 6: Final answer
    x = 507,276,978.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.