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Finding the Third Proportional to 137,968,281 and 300,430,962

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Solution

The third proportional to 137,968,281 and 300,430,962 is: 654,199,373.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,968,281 : 300,430,962 = 300,430,962 : x
  2. Step 2: Convert to fraction form
    137,968,281/300,430,962 = 300,430,962/x
  3. Step 3: Cross multiply
    137,968,281x = 300,430,962 × 300,430,962
  4. Step 4: Simplify right side
    137,968,281x = 90,258,762,928,245,440
  5. Step 5: Solve for x
    x = 90,258,762,928,245,440/137,968,281
  6. Step 6: Final answer
    x = 654,199,373.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.