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Finding the Third Proportional to 102,762,526 and 148,474,104

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Solution

The third proportional to 102,762,526 and 148,474,104 is: 214,519,440.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,762,526 : 148,474,104 = 148,474,104 : x
  2. Step 2: Convert to fraction form
    102,762,526/148,474,104 = 148,474,104/x
  3. Step 3: Cross multiply
    102,762,526x = 148,474,104 × 148,474,104
  4. Step 4: Simplify right side
    102,762,526x = 22,044,559,558,602,816
  5. Step 5: Solve for x
    x = 22,044,559,558,602,816/102,762,526
  6. Step 6: Final answer
    x = 214,519,440.27

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.