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Finding the Third Proportional to 248,688,010,602 and 382,015,203,148

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Solution

The third proportional to 248,688,010,602 and 382,015,203,148 is: 586,822,079,130.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,688,010,602 : 382,015,203,148 = 382,015,203,148 : x
  2. Step 2: Convert to fraction form
    248,688,010,602/382,015,203,148 = 382,015,203,148/x
  3. Step 3: Cross multiply
    248,688,010,602x = 382,015,203,148 × 382,015,203,148
  4. Step 4: Simplify right side
    248,688,010,602x = 145,935,615,436,207,704,506,368
  5. Step 5: Solve for x
    x = 145,935,615,436,207,704,506,368/248,688,010,602
  6. Step 6: Final answer
    x = 586,822,079,130.16

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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.