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Finding the Third Proportional to 210,465,160,396 and 432,087,692,063

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Solution

The third proportional to 210,465,160,396 and 432,087,692,063 is: 887,081,611,422.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,465,160,396 : 432,087,692,063 = 432,087,692,063 : x
  2. Step 2: Convert to fraction form
    210,465,160,396/432,087,692,063 = 432,087,692,063/x
  3. Step 3: Cross multiply
    210,465,160,396x = 432,087,692,063 × 432,087,692,063
  4. Step 4: Simplify right side
    210,465,160,396x = 186,699,773,632,329,921,069,056
  5. Step 5: Solve for x
    x = 186,699,773,632,329,921,069,056/210,465,160,396
  6. Step 6: Final answer
    x = 887,081,611,422.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.