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Finding the Third Proportional to 130,233,503,767.50 and 282,102,767,806.50

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Solution

The third proportional to 130,233,503,767.50 and 282,102,767,806.50 is: 611,071,416,355.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,233,503,767.50 : 282,102,767,806.50 = 282,102,767,806.50 : x
  2. Step 2: Convert to fraction form
    130,233,503,767.50/282,102,767,806.50 = 282,102,767,806.50/x
  3. Step 3: Cross multiply
    130,233,503,767.50x = 282,102,767,806.50 × 282,102,767,806.50
  4. Step 4: Simplify right side
    130,233,503,767.50x = 79,581,971,604,088,052,252,672
  5. Step 5: Solve for x
    x = 79,581,971,604,088,052,252,672/130,233,503,767.50
  6. Step 6: Final answer
    x = 611,071,416,355.06

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.