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Finding the Third Proportional to 248,688,004,490 and 382,015,196,851

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Solution

The third proportional to 248,688,004,490 and 382,015,196,851 is: 586,822,074,206.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,688,004,490 : 382,015,196,851 = 382,015,196,851 : x
  2. Step 2: Convert to fraction form
    248,688,004,490/382,015,196,851 = 382,015,196,851/x
  3. Step 3: Cross multiply
    248,688,004,490x = 382,015,196,851 × 382,015,196,851
  4. Step 4: Simplify right side
    248,688,004,490x = 145,935,610,625,108,282,966,016
  5. Step 5: Solve for x
    x = 145,935,610,625,108,282,966,016/248,688,004,490
  6. Step 6: Final answer
    x = 586,822,074,206.55

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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.