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Finding the Third Proportional to 176,621,732,176 and 385,210,138,652

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Solution

The third proportional to 176,621,732,176 and 385,210,138,652 is: 840,139,257,452.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,621,732,176 : 385,210,138,652 = 385,210,138,652 : x
  2. Step 2: Convert to fraction form
    176,621,732,176/385,210,138,652 = 385,210,138,652/x
  3. Step 3: Cross multiply
    176,621,732,176x = 385,210,138,652 × 385,210,138,652
  4. Step 4: Simplify right side
    176,621,732,176x = 148,386,850,920,293,071,847,424
  5. Step 5: Solve for x
    x = 148,386,850,920,293,071,847,424/176,621,732,176
  6. Step 6: Final answer
    x = 840,139,257,452.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.