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Finding the Third Proportional to 229,746,776,870 and 352,919,179,065

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Solution

The third proportional to 229,746,776,870 and 352,919,179,065 is: 542,127,069,849.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,746,776,870 : 352,919,179,065 = 352,919,179,065 : x
  2. Step 2: Convert to fraction form
    229,746,776,870/352,919,179,065 = 352,919,179,065/x
  3. Step 3: Cross multiply
    229,746,776,870x = 352,919,179,065 × 352,919,179,065
  4. Step 4: Simplify right side
    229,746,776,870x = 124,551,946,951,913,528,885,248
  5. Step 5: Solve for x
    x = 124,551,946,951,913,528,885,248/229,746,776,870
  6. Step 6: Final answer
    x = 542,127,069,849.56

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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.