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Finding the Third Proportional to 163,636,106,685 and 382,327,780,807.50

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Solution

The third proportional to 163,636,106,685 and 382,327,780,807.50 is: 893,290,209,223.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,636,106,685 : 382,327,780,807.50 = 382,327,780,807.50 : x
  2. Step 2: Convert to fraction form
    163,636,106,685/382,327,780,807.50 = 382,327,780,807.50/x
  3. Step 3: Cross multiply
    163,636,106,685x = 382,327,780,807.50 × 382,327,780,807.50
  4. Step 4: Simplify right side
    163,636,106,685x = 146,174,531,977,187,772,334,080
  5. Step 5: Solve for x
    x = 146,174,531,977,187,772,334,080/163,636,106,685
  6. Step 6: Final answer
    x = 893,290,209,223.65

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.