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Finding the Third Proportional to 163,596,786.75 and 357,977,782.13

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Solution

The third proportional to 163,596,786.75 and 357,977,782.13 is: 783,316,683.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,596,786.75 : 357,977,782.13 = 357,977,782.13 : x
  2. Step 2: Convert to fraction form
    163,596,786.75/357,977,782.13 = 357,977,782.13/x
  3. Step 3: Cross multiply
    163,596,786.75x = 357,977,782.13 × 357,977,782.13
  4. Step 4: Simplify right side
    163,596,786.75x = 128,148,092,495,133,968
  5. Step 5: Solve for x
    x = 128,148,092,495,133,968/163,596,786.75
  6. Step 6: Final answer
    x = 783,316,683.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.