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Finding the Third Proportional to 176,064,477,898.50 and 386,717,328,207

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Solution

The third proportional to 176,064,477,898.50 and 386,717,328,207 is: 849,406,386,345.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,064,477,898.50 : 386,717,328,207 = 386,717,328,207 : x
  2. Step 2: Convert to fraction form
    176,064,477,898.50/386,717,328,207 = 386,717,328,207/x
  3. Step 3: Cross multiply
    176,064,477,898.50x = 386,717,328,207 × 386,717,328,207
  4. Step 4: Simplify right side
    176,064,477,898.50x = 149,550,291,935,560,552,415,232
  5. Step 5: Solve for x
    x = 149,550,291,935,560,552,415,232/176,064,477,898.50
  6. Step 6: Final answer
    x = 849,406,386,345.44

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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.