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Finding the Third Proportional to 176,064,477,882 and 386,717,328,172.50

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Solution

The third proportional to 176,064,477,882 and 386,717,328,172.50 is: 849,406,386,273.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,064,477,882 : 386,717,328,172.50 = 386,717,328,172.50 : x
  2. Step 2: Convert to fraction form
    176,064,477,882/386,717,328,172.50 = 386,717,328,172.50/x
  3. Step 3: Cross multiply
    176,064,477,882x = 386,717,328,172.50 × 386,717,328,172.50
  4. Step 4: Simplify right side
    176,064,477,882x = 149,550,291,908,877,061,455,872
  5. Step 5: Solve for x
    x = 149,550,291,908,877,061,455,872/176,064,477,882
  6. Step 6: Final answer
    x = 849,406,386,273.48

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