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Finding the Third Proportional to 211,586,004 and 326,812,018.50

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Solution

The third proportional to 211,586,004 and 326,812,018.50 is: 504,788,092.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,586,004 : 326,812,018.50 = 326,812,018.50 : x
  2. Step 2: Convert to fraction form
    211,586,004/326,812,018.50 = 326,812,018.50/x
  3. Step 3: Cross multiply
    211,586,004x = 326,812,018.50 × 326,812,018.50
  4. Step 4: Simplify right side
    211,586,004x = 106,806,095,436,044,336
  5. Step 5: Solve for x
    x = 106,806,095,436,044,336/211,586,004
  6. Step 6: Final answer
    x = 504,788,092.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.