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Finding the Third Proportional to 214,979,485 and 470,196,743

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Solution

The third proportional to 214,979,485 and 470,196,743 is: 1,028,400,347.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,979,485 : 470,196,743 = 470,196,743 : x
  2. Step 2: Convert to fraction form
    214,979,485/470,196,743 = 470,196,743/x
  3. Step 3: Cross multiply
    214,979,485x = 470,196,743 × 470,196,743
  4. Step 4: Simplify right side
    214,979,485x = 221,084,977,127,808,064
  5. Step 5: Solve for x
    x = 221,084,977,127,808,064/214,979,485
  6. Step 6: Final answer
    x = 1,028,400,347.73

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.