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Finding the Third Proportional to 97,393,926,004.50 and 209,445,302,967

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Solution

The third proportional to 97,393,926,004.50 and 209,445,302,967 is: 450,411,403,817.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,393,926,004.50 : 209,445,302,967 = 209,445,302,967 : x
  2. Step 2: Convert to fraction form
    97,393,926,004.50/209,445,302,967 = 209,445,302,967/x
  3. Step 3: Cross multiply
    97,393,926,004.50x = 209,445,302,967 × 209,445,302,967
  4. Step 4: Simplify right side
    97,393,926,004.50x = 43,867,334,934,938,421,035,008
  5. Step 5: Solve for x
    x = 43,867,334,934,938,421,035,008/97,393,926,004.50
  6. Step 6: Final answer
    x = 450,411,403,817.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.