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Finding the Third Proportional to 234,403,166 and 344,829,423

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Solution

The third proportional to 234,403,166 and 344,829,423 is: 507,276,983.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,403,166 : 344,829,423 = 344,829,423 : x
  2. Step 2: Convert to fraction form
    234,403,166/344,829,423 = 344,829,423/x
  3. Step 3: Cross multiply
    234,403,166x = 344,829,423 × 344,829,423
  4. Step 4: Simplify right side
    234,403,166x = 118,907,330,966,512,928
  5. Step 5: Solve for x
    x = 118,907,330,966,512,928/234,403,166
  6. Step 6: Final answer
    x = 507,276,983.48

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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.