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Finding the Third Proportional to 145,698,520 and 224,175,143

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Solution

The third proportional to 145,698,520 and 224,175,143 is: 344,921,106.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,698,520 : 224,175,143 = 224,175,143 : x
  2. Step 2: Convert to fraction form
    145,698,520/224,175,143 = 224,175,143/x
  3. Step 3: Cross multiply
    145,698,520x = 224,175,143 × 224,175,143
  4. Step 4: Simplify right side
    145,698,520x = 50,254,494,739,070,448
  5. Step 5: Solve for x
    x = 50,254,494,739,070,448/145,698,520
  6. Step 6: Final answer
    x = 344,921,106.54

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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.