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Finding the Third Proportional to 216,343,050 and 510,192,465

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Solution

The third proportional to 216,343,050 and 510,192,465 is: 1,203,164,840.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,343,050 : 510,192,465 = 510,192,465 : x
  2. Step 2: Convert to fraction form
    216,343,050/510,192,465 = 510,192,465/x
  3. Step 3: Cross multiply
    216,343,050x = 510,192,465 × 510,192,465
  4. Step 4: Simplify right side
    216,343,050x = 260,296,351,342,776,224
  5. Step 5: Solve for x
    x = 260,296,351,342,776,224/216,343,050
  6. Step 6: Final answer
    x = 1,203,164,840.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.