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Finding the Third Proportional to 242,238,681 and 525,365,514

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Solution

The third proportional to 242,238,681 and 525,365,514 is: 1,139,408,958.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,238,681 : 525,365,514 = 525,365,514 : x
  2. Step 2: Convert to fraction form
    242,238,681/525,365,514 = 525,365,514/x
  3. Step 3: Cross multiply
    242,238,681x = 525,365,514 × 525,365,514
  4. Step 4: Simplify right side
    242,238,681x = 276,008,923,300,484,192
  5. Step 5: Solve for x
    x = 276,008,923,300,484,192/242,238,681
  6. Step 6: Final answer
    x = 1,139,408,958.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.