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Finding the Third Proportional to 70,549,133 and 151,909,768

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Solution

The third proportional to 70,549,133 and 151,909,768 is: 327,099,379.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,549,133 : 151,909,768 = 151,909,768 : x
  2. Step 2: Convert to fraction form
    70,549,133/151,909,768 = 151,909,768/x
  3. Step 3: Cross multiply
    70,549,133x = 151,909,768 × 151,909,768
  4. Step 4: Simplify right side
    70,549,133x = 23,076,577,613,813,824
  5. Step 5: Solve for x
    x = 23,076,577,613,813,824/70,549,133
  6. Step 6: Final answer
    x = 327,099,379.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.