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Finding the Third Proportional to 102,762,497 and 148,474,062

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Solution

The third proportional to 102,762,497 and 148,474,062 is: 214,519,379.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,762,497 : 148,474,062 = 148,474,062 : x
  2. Step 2: Convert to fraction form
    102,762,497/148,474,062 = 148,474,062/x
  3. Step 3: Cross multiply
    102,762,497x = 148,474,062 × 148,474,062
  4. Step 4: Simplify right side
    102,762,497x = 22,044,547,086,779,844
  5. Step 5: Solve for x
    x = 22,044,547,086,779,844/102,762,497
  6. Step 6: Final answer
    x = 214,519,379.45

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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.