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Finding the Third Proportional to 213,165,825.50 and 463,867,509.50

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Solution

The third proportional to 213,165,825.50 and 463,867,509.50 is: 1,009,416,335.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,165,825.50 : 463,867,509.50 = 463,867,509.50 : x
  2. Step 2: Convert to fraction form
    213,165,825.50/463,867,509.50 = 463,867,509.50/x
  3. Step 3: Cross multiply
    213,165,825.50x = 463,867,509.50 × 463,867,509.50
  4. Step 4: Simplify right side
    213,165,825.50x = 215,173,066,369,732,576
  5. Step 5: Solve for x
    x = 215,173,066,369,732,576/213,165,825.50
  6. Step 6: Final answer
    x = 1,009,416,335.22

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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.