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Finding the Third Proportional to 145,698,490 and 224,175,098

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Solution

The third proportional to 145,698,490 and 224,175,098 is: 344,921,039.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,698,490 : 224,175,098 = 224,175,098 : x
  2. Step 2: Convert to fraction form
    145,698,490/224,175,098 = 224,175,098/x
  3. Step 3: Cross multiply
    145,698,490x = 224,175,098 × 224,175,098
  4. Step 4: Simplify right side
    145,698,490x = 50,254,474,563,309,600
  5. Step 5: Solve for x
    x = 50,254,474,563,309,600/145,698,490
  6. Step 6: Final answer
    x = 344,921,039.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.