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Finding the Third Proportional to 145,698,547.50 and 224,175,201.75

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Solution

The third proportional to 145,698,547.50 and 224,175,201.75 is: 344,921,222.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,698,547.50 : 224,175,201.75 = 224,175,201.75 : x
  2. Step 2: Convert to fraction form
    145,698,547.50/224,175,201.75 = 224,175,201.75/x
  3. Step 3: Cross multiply
    145,698,547.50x = 224,175,201.75 × 224,175,201.75
  4. Step 4: Simplify right side
    145,698,547.50x = 50,254,521,079,653,200
  5. Step 5: Solve for x
    x = 50,254,521,079,653,200/145,698,547.50
  6. Step 6: Final answer
    x = 344,921,222.22

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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.