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Finding the Third Proportional to 176,572,362 and 412,421,503

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Solution

The third proportional to 176,572,362 and 412,421,503 is: 963,296,261.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,572,362 : 412,421,503 = 412,421,503 : x
  2. Step 2: Convert to fraction form
    176,572,362/412,421,503 = 412,421,503/x
  3. Step 3: Cross multiply
    176,572,362x = 412,421,503 × 412,421,503
  4. Step 4: Simplify right side
    176,572,362x = 170,091,496,136,779,008
  5. Step 5: Solve for x
    x = 170,091,496,136,779,008/176,572,362
  6. Step 6: Final answer
    x = 963,296,261.15

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.