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Finding the Third Proportional to 145,041,961.50 and 224,915,636.25

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Solution

The third proportional to 145,041,961.50 and 224,915,636.25 is: 348,775,229.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,041,961.50 : 224,915,636.25 = 224,915,636.25 : x
  2. Step 2: Convert to fraction form
    145,041,961.50/224,915,636.25 = 224,915,636.25/x
  3. Step 3: Cross multiply
    145,041,961.50x = 224,915,636.25 × 224,915,636.25
  4. Step 4: Simplify right side
    145,041,961.50x = 50,587,043,429,742,312
  5. Step 5: Solve for x
    x = 50,587,043,429,742,312/145,041,961.50
  6. Step 6: Final answer
    x = 348,775,229.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.