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Finding the Third Proportional to 102,465,373.50 and 219,574,900.50

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Solution

The third proportional to 102,465,373.50 and 219,574,900.50 is: 470,531,022.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,465,373.50 : 219,574,900.50 = 219,574,900.50 : x
  2. Step 2: Convert to fraction form
    102,465,373.50/219,574,900.50 = 219,574,900.50/x
  3. Step 3: Cross multiply
    102,465,373.50x = 219,574,900.50 × 219,574,900.50
  4. Step 4: Simplify right side
    102,465,373.50x = 48,213,136,929,584,904
  5. Step 5: Solve for x
    x = 48,213,136,929,584,904/102,465,373.50
  6. Step 6: Final answer
    x = 470,531,022.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.