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Finding the Third Proportional to 99,587,528,019 and 152,978,624,304.75

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Solution

The third proportional to 99,587,528,019 and 152,978,624,304.75 is: 234,993,878,849.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,587,528,019 : 152,978,624,304.75 = 152,978,624,304.75 : x
  2. Step 2: Convert to fraction form
    99,587,528,019/152,978,624,304.75 = 152,978,624,304.75/x
  3. Step 3: Cross multiply
    99,587,528,019x = 152,978,624,304.75 × 152,978,624,304.75
  4. Step 4: Simplify right side
    99,587,528,019x = 23,402,459,494,173,848,371,200
  5. Step 5: Solve for x
    x = 23,402,459,494,173,848,371,200/99,587,528,019
  6. Step 6: Final answer
    x = 234,993,878,849.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.