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Finding the Third Proportional to 176,064,477,889 and 386,717,328,187

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Solution

The third proportional to 176,064,477,889 and 386,717,328,187 is: 849,406,386,303.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,064,477,889 : 386,717,328,187 = 386,717,328,187 : x
  2. Step 2: Convert to fraction form
    176,064,477,889/386,717,328,187 = 386,717,328,187/x
  3. Step 3: Cross multiply
    176,064,477,889x = 386,717,328,187 × 386,717,328,187
  4. Step 4: Simplify right side
    176,064,477,889x = 149,550,291,920,091,858,599,936
  5. Step 5: Solve for x
    x = 149,550,291,920,091,858,599,936/176,064,477,889
  6. Step 6: Final answer
    x = 849,406,386,303.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.