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Finding the Third Proportional to 99,607,624,905 and 215,087,264,970

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Solution

The third proportional to 99,607,624,905 and 215,087,264,970 is: 464,447,692,597.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,607,624,905 : 215,087,264,970 = 215,087,264,970 : x
  2. Step 2: Convert to fraction form
    99,607,624,905/215,087,264,970 = 215,087,264,970/x
  3. Step 3: Cross multiply
    99,607,624,905x = 215,087,264,970 × 215,087,264,970
  4. Step 4: Simplify right side
    99,607,624,905x = 46,262,531,552,274,991,284,224
  5. Step 5: Solve for x
    x = 46,262,531,552,274,991,284,224/99,607,624,905
  6. Step 6: Final answer
    x = 464,447,692,597.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.