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Finding the Third Proportional to 164,939,529 and 242,017,224

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Solution

The third proportional to 164,939,529 and 242,017,224 is: 355,114,004.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,939,529 : 242,017,224 = 242,017,224 : x
  2. Step 2: Convert to fraction form
    164,939,529/242,017,224 = 242,017,224/x
  3. Step 3: Cross multiply
    164,939,529x = 242,017,224 × 242,017,224
  4. Step 4: Simplify right side
    164,939,529x = 58,572,336,712,666,176
  5. Step 5: Solve for x
    x = 58,572,336,712,666,176/164,939,529
  6. Step 6: Final answer
    x = 355,114,004.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.