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Finding the Third Proportional to 161,039,679,528 and 240,163,001,664

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Solution

The third proportional to 161,039,679,528 and 240,163,001,664 is: 358,161,836,494.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,039,679,528 : 240,163,001,664 = 240,163,001,664 : x
  2. Step 2: Convert to fraction form
    161,039,679,528/240,163,001,664 = 240,163,001,664/x
  3. Step 3: Cross multiply
    161,039,679,528x = 240,163,001,664 × 240,163,001,664
  4. Step 4: Simplify right side
    161,039,679,528x = 57,678,267,368,262,466,535,424
  5. Step 5: Solve for x
    x = 57,678,267,368,262,466,535,424/161,039,679,528
  6. Step 6: Final answer
    x = 358,161,836,494.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.