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Finding the Third Proportional to 229,575,930,146 and 323,152,621,347

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Solution

The third proportional to 229,575,930,146 and 323,152,621,347 is: 454,871,800,441.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,575,930,146 : 323,152,621,347 = 323,152,621,347 : x
  2. Step 2: Convert to fraction form
    229,575,930,146/323,152,621,347 = 323,152,621,347/x
  3. Step 3: Cross multiply
    229,575,930,146x = 323,152,621,347 × 323,152,621,347
  4. Step 4: Simplify right side
    229,575,930,146x = 104,427,616,683,437,552,828,416
  5. Step 5: Solve for x
    x = 104,427,616,683,437,552,828,416/229,575,930,146
  6. Step 6: Final answer
    x = 454,871,800,441.04

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.