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Finding the Third Proportional to 86,668,939,620 and 175,774,812,574.50

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Solution

The third proportional to 86,668,939,620 and 175,774,812,574.50 is: 356,492,012,837.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,668,939,620 : 175,774,812,574.50 = 175,774,812,574.50 : x
  2. Step 2: Convert to fraction form
    86,668,939,620/175,774,812,574.50 = 175,774,812,574.50/x
  3. Step 3: Cross multiply
    86,668,939,620x = 175,774,812,574.50 × 175,774,812,574.50
  4. Step 4: Simplify right side
    86,668,939,620x = 30,896,784,735,600,602,251,264
  5. Step 5: Solve for x
    x = 30,896,784,735,600,602,251,264/86,668,939,620
  6. Step 6: Final answer
    x = 356,492,012,837.21

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.