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Finding the Third Proportional to 207,953,664 and 450,583,500

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Solution

The third proportional to 207,953,664 and 450,583,500 is: 976,301,578.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,953,664 : 450,583,500 = 450,583,500 : x
  2. Step 2: Convert to fraction form
    207,953,664/450,583,500 = 450,583,500/x
  3. Step 3: Cross multiply
    207,953,664x = 450,583,500 × 450,583,500
  4. Step 4: Simplify right side
    207,953,664x = 203,025,490,472,249,984
  5. Step 5: Solve for x
    x = 203,025,490,472,249,984/207,953,664
  6. Step 6: Final answer
    x = 976,301,578.76

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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.