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Finding the Third Proportional to 176,771,136 and 416,698,646

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Solution

The third proportional to 176,771,136 and 416,698,646 is: 982,274,400.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,771,136 : 416,698,646 = 416,698,646 : x
  2. Step 2: Convert to fraction form
    176,771,136/416,698,646 = 416,698,646/x
  3. Step 3: Cross multiply
    176,771,136x = 416,698,646 × 416,698,646
  4. Step 4: Simplify right side
    176,771,136x = 173,637,761,578,233,312
  5. Step 5: Solve for x
    x = 173,637,761,578,233,312/176,771,136
  6. Step 6: Final answer
    x = 982,274,400.15

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.