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Finding the Third Proportional to 214,293,740 and 465,119,128

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Solution

The third proportional to 214,293,740 and 465,119,128 is: 1,009,529,271.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,293,740 : 465,119,128 = 465,119,128 : x
  2. Step 2: Convert to fraction form
    214,293,740/465,119,128 = 465,119,128/x
  3. Step 3: Cross multiply
    214,293,740x = 465,119,128 × 465,119,128
  4. Step 4: Simplify right side
    214,293,740x = 216,335,803,231,480,384
  5. Step 5: Solve for x
    x = 216,335,803,231,480,384/214,293,740
  6. Step 6: Final answer
    x = 1,009,529,271.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.